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12220201222000 = 2453171116132203
BaseRepresentation
bin1011000111010011110011…
…0000001011111101110000
31121021020110211112012020021
42301310330300023331300
53100203433003101000
641553514414253224
72400610656350332
oct261647460137560
947236424465207
1012220201222000
1139916160120a2
1214544347b7214
136a848acaac55
143036649a5452
15162d1eb0c11a
hexb1d3cc0bf70

12220201222000 has 160 divisors (see below), whose sum is σ = 31290365306304. Its totient is φ = 4599991296000.

The previous prime is 12220201221997. The next prime is 12220201222003. The reversal of 12220201222000 is 22210202221.

It is an interprime number because it is at equal distance from previous prime (12220201221997) and next prime (12220201222003).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12220201222003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 379457899 + ... + 379490101.

Almost surely, 212220201222000 is an apocalyptic number.

12220201222000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12220201222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15645182653152).

12220201222000 is an abundant number, since it is smaller than the sum of its proper divisors (19070164084304).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12220201222000 is a wasteful number, since it uses less digits than its factorization.

12220201222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43404 (or 43388 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 12220201222000 its reverse (22210202221), we get a palindrome (12242411424221).

The spelling of 12220201222000 in words is "twelve trillion, two hundred twenty billion, two hundred one million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 340 400 425 500 680 850 1000 1360 1700 2000 2125 3400 4250 6800 8500 11161 17000 22322 32203 34000 44644 55805 64406 89288 111610 128812 161015 178576 189737 223220 257624 279025 322030 379474 446440 515248 547451 558050 644060 758948 805075 892880 948685 1094902 1116100 1288120 1395125 1517896 1610150 1897370 2189804 2232200 2576240 2737255 2790250 3035792 3220300 3794740 4025375 4379608 4464400 4743425 5474510 5580500 6440600 7589480 8050750 8759216 9486850 10949020 11161000 12881200 13686275 15178960 16101500 18973700 21898040 22322000 23717125 27372550 32203000 37947400 43796080 47434250 54745100 64406000 68431375 75894800 94868500 109490200 136862750 189737000 218980400 273725500 359417683 379474000 547451000 718835366 1094902000 1437670732 1797088415 2875341464 3594176830 5750682928 6110100611 7188353660 8985442075 12220201222 14376707320 17970884150 24440402444 28753414640 30550503055 35941768300 44927210375 48880804888 61101006110 71883536600 89854420750 97761609776 122202012220 143767073200 152752515275 179708841500 244404024440 305505030550 359417683000 488808048880 611010061100 718835366000 763762576375 1222020122200 1527525152750 2444040244400 3055050305500 6110100611000 12220201222000