121231113120000 has 1080 divisors, whose sum is σ = 470812291733784. Its totient is φ = 29814276096000.

The previous prime is 121231113119953. The next prime is 121231113120011. The reversal of 121231113120000 is 21311132121.

121231113120000 is a `hidden beast` number, since 1 + 21 + 2 + 311 + 131 + 200 + 0 + 0 = 666.

It can be written as a sum of positive squares in 20 ways, for example, as 108380092651776 + 12851020468224 = 10410576^2 + 3584832^2 .

It is a super-2 number, since 2×121231113120000² (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 119 ways as a sum of consecutive naturals, for example, 27200157772 + ... + 27200162228.

Almost surely, 2^{121231113120000} is an apocalyptic number.

121231113120000 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 121231113120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235406145866892).

121231113120000 is an abundant number, since it is smaller than the sum of its proper divisors (349581178613784).

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

121231113120000 is a wasteful number, since it uses less digits than its factorization.

121231113120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5965 (or 5933 counting only the distinct ones).

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

Adding to 121231113120000 its reverse (21311132121), we get a palindrome (121252424252121).

The spelling of 121231113120000 in words is "one hundred twenty-one trillion, two hundred thirty-one billion, one hundred thirteen million, one hundred twenty thousand".