116121012480 has 1152 divisors, whose sum is σ = 470749224960. Its totient is φ = 26860584960.

The previous prime is 116121012451. The next prime is 116121012499. The reversal of 116121012480 is 84210121611.

It is a happy number.

116121012480 is a `hidden beast` number, since 1 + 1 + 612 + 1 + 0 + 1 + 2 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1197123792 + ... + 1197123888.

It is an arithmetic number, because the mean of its divisors is an integer number (408636480).

Almost surely, 2^116121012480 is an apocalyptic number.

116121012480 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 116121012480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235374612480).

116121012480 is an abundant number, since it is smaller than the sum of its proper divisors (354628212480).

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

116121012480 is a wasteful number, since it uses less digits than its factorization.

116121012480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The spelling of 116121012480 in words is "one hundred sixteen billion, one hundred twenty-one million, twelve thousand, four hundred eighty".