121331058816 has 256 divisors, whose sum is σ = 358680960000. Its totient is φ = 36028968960.

The previous prime is 121331058809. The next prime is 121331058817. The reversal of 121331058816 is 618850133121.

It is not an unprimeable number, because it can be changed into a prime (121331058817) 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, 109405270 + ... + 109406378.

It is an arithmetic number, because the mean of its divisors is an integer number (1401097500).

Almost surely, 2^121331058816 is an apocalyptic number.

121331058816 is a gapful number since it is divisible by the number (16) 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 121331058816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179340480000).

121331058816 is an abundant number, since it is smaller than the sum of its proper divisors (237349901184).

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

121331058816 is a wasteful number, since it uses less digits than its factorization.

121331058816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1635 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The spelling of 121331058816 in words is "one hundred twenty-one billion, three hundred thirty-one million, fifty-eight thousand, eight hundred sixteen".