121258132992 has 120 divisors (see below), whose sum is σ = 350104686360. Its totient is φ = 40402575360.

The previous prime is 121258132973. The next prime is 121258133119. The reversal of 121258132992 is 299231852121.

121258132992 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16451484 + ... + 16458852.

It is an arithmetic number, because the mean of its divisors is an integer number (2917539053).

Almost surely, 2^121258132992 is an apocalyptic number.

121258132992 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 121258132992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175052343180).

121258132992 is an abundant number, since it is smaller than the sum of its proper divisors (228846553368).

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

121258132992 is an equidigital number, since it uses as much as digits as its factorization.

121258132992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10964 (or 10945 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The spelling of 121258132992 in words is "one hundred twenty-one billion, two hundred fifty-eight million, one hundred thirty-two thousand, nine hundred ninety-two".