121611305498880 has 72 divisors (see below), whose sum is σ = 388396106949312. Its totient is φ = 32429681465344.

The previous prime is 121611305498857. The next prime is 121611305498897. The reversal of 121611305498880 is 88894503116121.

It is a happy number.

121611305498880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 121611305498880.

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, 15834801564 + ... + 15834809243.

It is an arithmetic number, because the mean of its divisors is an integer number (5394390374296).

Almost surely, 2^{121611305498880} is an apocalyptic number.

121611305498880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121611305498880 is an abundant number, since it is smaller than the sum of its proper divisors (266784801450432).

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

121611305498880 is an equidigital number, since it uses as much as digits as its factorization.

121611305498880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31669610831 (or 31669610817 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 57.

The spelling of 121611305498880 in words is "one hundred twenty-one trillion, six hundred eleven billion, three hundred five million, four hundred ninety-eight thousand, eight hundred eighty".