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12210222110000 = 24544632637197
BaseRepresentation
bin1011000110101110100111…
…1100111001010100110000
31121020021201101001210001112
42301223221330321110300
53100023013330010000
641545144255252452
72400105454323335
oct261535174712460
947207641053045
1012210222110000
1139883650745a2
12145250a81a128
136a755a725155
14302d9951c98c
151629389c8235
hexb1ae9f39530

12210222110000 has 100 divisors (see below), whose sum is σ = 29626029160992. Its totient is φ = 4873538208000.

The previous prime is 12210222109991. The next prime is 12210222110017. The reversal of 12210222110000 is 1122201221.

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 3311402 + ... + 5948598.

Almost surely, 212210222110000 is an apocalyptic number.

12210222110000 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 12210222110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14813014580496).

12210222110000 is an abundant number, since it is smaller than the sum of its proper divisors (17415807050992).

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

12210222110000 is an equidigital number, since it uses as much as digits as its factorization.

12210222110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2637688 (or 2637667 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12210222110000 its reverse (1122201221), we get a palindrome (12211344311221).

The spelling of 12210222110000 in words is "twelve trillion, two hundred ten billion, two hundred twenty-two million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 463 500 625 926 1000 1250 1852 2000 2315 2500 3704 4630 5000 7408 9260 10000 11575 18520 23150 37040 46300 57875 92600 115750 185200 231500 289375 463000 578750 926000 1157500 2315000 2637197 4630000 5274394 10548788 13185985 21097576 26371970 42195152 52743940 65929925 105487880 131859850 210975760 263719700 329649625 527439400 659299250 1054878800 1221022211 1318598500 1648248125 2442044422 2637197000 3296496250 4884088844 5274394000 6105111055 6592992500 9768177688 12210222110 13185985000 19536355376 24420444220 26371970000 30525555275 48840888440 61051110550 97681776880 122102221100 152627776375 244204442200 305255552750 488408884400 610511105500 763138881875 1221022211000 1526277763750 2442044422000 3052555527500 6105111055000 12210222110000