121161164520 has 128 divisors (see below), whose sum is σ = 397633536000. Its totient is φ = 29290471680.

The previous prime is 121161164431. The next prime is 121161164567. The reversal of 121161164520 is 25461161121.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 346041 + ... + 601719.

It is an arithmetic number, because the mean of its divisors is an integer number (3106512000).

Almost surely, 2^121161164520 is an apocalyptic number.

121161164520 is a gapful number since it is divisible by the number (10) 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 121161164520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198816768000).

121161164520 is an abundant number, since it is smaller than the sum of its proper divisors (276472371480).

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

121161164520 is a wasteful number, since it uses less digits than its factorization.

121161164520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256063 (or 256059 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The spelling of 121161164520 in words is "one hundred twenty-one billion, one hundred sixty-one million, one hundred sixty-four thousand, five hundred twenty".