121320310132992 has 144 divisors (see below), whose sum is σ = 324892419891200. Its totient is φ = 40189214140416.

The previous prime is 121320310132991. The next prime is 121320310132999. The reversal of 121320310132992 is 299231013023121.

It is a super-2 number, since 2×121320310132992² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 121320310132992.

It is not an unprimeable number, because it can be changed into a prime (121320310132991) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2614695009 + ... + 2614741407.

Almost surely, 2^{121320310132992} is an apocalyptic number.

121320310132992 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 121320310132992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162446209945600).

121320310132992 is an abundant number, since it is smaller than the sum of its proper divisors (203572109758208).

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

121320310132992 is a wasteful number, since it uses less digits than its factorization.

121320310132992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67468 (or 67454 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The spelling of 121320310132992 in words is "one hundred twenty-one trillion, three hundred twenty billion, three hundred ten million, one hundred thirty-two thousand, nine hundred ninety-two".