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12021102321312 = 2537478918123627
BaseRepresentation
bin1010111011101110000110…
…0010001001111010100000
31120120012120021211002121110
42232323201202021322200
53033423204143240222
641322230154023320
72350332056541120
oct256734142117240
946505507732543
1012021102321312
113915136964177
12142192aa17b40
1369277b57b946
142d7b78448c80
1515ca6a83030c
hexaeee1889ea0

12021102321312 has 384 divisors, whose sum is σ = 37451793899520. Its totient is φ = 3305250938880.

The previous prime is 12021102321311. The next prime is 12021102321323. The reversal of 12021102321312 is 21312320112021.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (12021102321311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 508774843 + ... + 508798469.

It is an arithmetic number, because the mean of its divisors is an integer number (97530713280).

Almost surely, 212021102321312 is an apocalyptic number.

12021102321312 is a gapful number since it is divisible by the number (12) 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 12021102321312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18725896949760).

12021102321312 is an abundant number, since it is smaller than the sum of its proper divisors (25430691578208).

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

12021102321312 is a wasteful number, since it uses less digits than its factorization.

12021102321312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23964 (or 23956 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 12021102321312 its reverse (21312320112021), we get a palindrome (33333422433333).

The spelling of 12021102321312 in words is "twelve trillion, twenty-one billion, one hundred two million, three hundred twenty-one thousand, three hundred twelve".