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122021232320 = 2651359497153
BaseRepresentation
bin111000110100100001…
…0000011111011000000
3102122221212110211222202
41301221002003323000
53444344413413240
6132020014252332
711546541235001
oct1615102037300
9378855424882
10122021232320
1147826893959
121b7947b70a8
13b677b86a20
145c9796b1a8
15329265e315
hex1c69083ec0

122021232320 has 112 divisors (see below), whose sum is σ = 318218332320. Its totient is φ = 44290277376.

The previous prime is 122021232199. The next prime is 122021232373. The reversal of 122021232320 is 23232120221.

It is a happy number.

It is a super-2 number, since 2×1220212323202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 122021232292 and 122021232301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3137 + ... + 494016.

It is an arithmetic number, because the mean of its divisors is an integer number (2841235110).

Almost surely, 2122021232320 is an apocalyptic number.

122021232320 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 122021232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159109166160).

122021232320 is an abundant number, since it is smaller than the sum of its proper divisors (196197100000).

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

122021232320 is a wasteful number, since it uses less digits than its factorization.

122021232320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497242 (or 497232 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 122021232320 its reverse (23232120221), we get a palindrome (145253352541).

The spelling of 122021232320 in words is "one hundred twenty-two billion, twenty-one million, two hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 59 64 65 80 104 118 130 160 208 236 260 295 320 416 472 520 590 767 832 944 1040 1180 1534 1888 2080 2360 3068 3776 3835 4160 4720 6136 7670 9440 12272 15340 18880 24544 30680 49088 61360 122720 245440 497153 994306 1988612 2485765 3977224 4971530 6462989 7954448 9943060 12925978 15908896 19886120 25851956 29332027 31817792 32314945 39772240 51703912 58664054 64629890 79544480 103407824 117328108 129259780 146660135 159088960 206815648 234656216 258519560 293320270 381316351 413631296 469312432 517039120 586640540 762632702 938624864 1034078240 1173281080 1525265404 1877249728 1906581755 2068156480 2346562160 3050530808 3813163510 4693124320 6101061616 7626327020 9386248640 12202123232 15252654040 24404246464 30505308080 61010616160 122021232320