121112312013000 has 576 divisors, whose sum is σ = 519484207057920. Its totient is φ = 25166193696000.

The previous prime is 121112312012983. The next prime is 121112312013013. The reversal of 121112312013000 is 310213211121.

121112312013000 is a `hidden beast` number, since 1 + 2 + 111 + 231 + 20 + 1 + 300 + 0 = 666.

It is a super-2 number, since 2×121112312013000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7632232 + ... + 17334231.

It is an arithmetic number, because the mean of its divisors is an integer number (901882303920).

Almost surely, 2^{121112312013000} is an apocalyptic number.

121112312013000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121112312013000 is an abundant number, since it is smaller than the sum of its proper divisors (398371895044920).

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

121112312013000 is a wasteful number, since it uses less digits than its factorization.

121112312013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24966515 (or 24966491 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 121112312013000 its reverse (310213211121), we get a palindrome (121422525224121).

The spelling of 121112312013000 in words is "one hundred twenty-one trillion, one hundred twelve billion, three hundred twelve million, thirteen thousand".