121122074931232 has 192 divisors, whose sum is σ = 247141655760384. Its totient is φ = 58389035950080.

The previous prime is 121122074931217. The next prime is 121122074931257. The reversal of 121122074931232 is 232139470221121.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91689685132 + ... + 91689686452.

It is an arithmetic number, because the mean of its divisors is an integer number (1287196123752).

Almost surely, 2^{121122074931232} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121122074931232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123570827880192).

121122074931232 is an abundant number, since it is smaller than the sum of its proper divisors (126019580829152).

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

121122074931232 is a wasteful number, since it uses less digits than its factorization.

121122074931232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2971 (or 2963 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The spelling of 121122074931232 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, seventy-four million, nine hundred thirty-one thousand, two hundred thirty-two".