121128306585312 has 48 divisors (see below), whose sum is σ = 342420405158160. Its totient is φ = 37270248179712.

The previous prime is 121128306585287. The next prime is 121128306585337. The reversal of 121128306585312 is 213585603821121.

It is an interprime number because it is at equal distance from previous prime (121128306585287) and next prime (121128306585337).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48528967737 + ... + 48528970232.

It is an arithmetic number, because the mean of its divisors is an integer number (7133758440795).

Almost surely, 2^{121128306585312} is an apocalyptic number.

121128306585312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121128306585312 is an abundant number, since it is smaller than the sum of its proper divisors (221292098572848).

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

121128306585312 is a wasteful number, since it uses less digits than its factorization.

121128306585312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97057937995 (or 97057937987 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 48.

The spelling of 121128306585312 in words is "one hundred twenty-one trillion, one hundred twenty-eight billion, three hundred six million, five hundred eighty-five thousand, three hundred twelve".