121032213297952 has 192 divisors, whose sum is σ = 265246016878080. Its totient is φ = 53899203635200.

The previous prime is 121032213297943. The next prime is 121032213297953. The reversal of 121032213297952 is 259792312230121.

It is a junction number, because it is equal to n+sod(n) for n = 121032213297896 and 121032213297905.

It is not an unprimeable number, because it can be changed into a prime (121032213297953) by changing a digit.

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, 7521725427 + ... + 7521741517.

It is an arithmetic number, because the mean of its divisors is an integer number (1381489671240).

Almost surely, 2^{121032213297952} 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 121032213297952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132623008439040).

121032213297952 is an abundant number, since it is smaller than the sum of its proper divisors (144213803580128).

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

121032213297952 is a wasteful number, since it uses less digits than its factorization.

121032213297952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17375 (or 17367 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 49.

The spelling of 121032213297952 in words is "one hundred twenty-one trillion, thirty-two billion, two hundred thirteen million, two hundred ninety-seven thousand, nine hundred fifty-two".