121295577196032 has 320 divisors, whose sum is σ = 347174270942400. Its totient is φ = 37555769180160.

The previous prime is 121295577195959. The next prime is 121295577196033. The reversal of 121295577196032 is 230691775592121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121295577196033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146269932 + ... + 147096852.

It is an arithmetic number, because the mean of its divisors is an integer number (1084919596695).

Almost surely, 2^{121295577196032} is an apocalyptic number.

121295577196032 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 121295577196032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173587135471200).

121295577196032 is an abundant number, since it is smaller than the sum of its proper divisors (225878693746368).

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

121295577196032 is an equidigital number, since it uses as much as digits as its factorization.

121295577196032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827097 (or 827081 counting only the distinct ones).

The product of its (nonzero) digits is 14288400, while the sum is 60.

The spelling of 121295577196032 in words is "one hundred twenty-one trillion, two hundred ninety-five billion, five hundred seventy-seven million, one hundred ninety-six thousand, thirty-two".