121013112000000 has 1120 divisors, whose sum is σ = 441163103040000. Its totient is φ = 29233152000000.

The previous prime is 121013111999971. The next prime is 121013112000023. The reversal of 121013112000000 is 211310121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 121013112000000.

It is a congruent number.

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 111 ways as a sum of consecutive naturals, for example, 96887999376 + ... + 96888000624.

Almost surely, 2^{121013112000000} is an apocalyptic number.

121013112000000 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 121013112000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220581551520000).

121013112000000 is an abundant number, since it is smaller than the sum of its proper divisors (320149991040000).

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

121013112000000 is an frugal number, since it uses more digits than its factorization.

121013112000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678 (or 1637 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 121013112000000 its reverse (211310121), we get a palindrome (121013323310121).

The spelling of 121013112000000 in words is "one hundred twenty-one trillion, thirteen billion, one hundred twelve million", and thus it is an aban number.