120914906112 has 1408 divisors, whose sum is σ = 511056967680. Its totient is φ = 27179089920.

The previous prime is 120914906107. The next prime is 120914906131. The reversal of 120914906112 is 211609419021.

It is a happy number.

120914906112 is a `hidden beast` number, since 1 + 20 + 9 + 14 + 9 + 0 + 611 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 470485888 + ... + 470486144.

Almost surely, 2^120914906112 is an apocalyptic number.

120914906112 is a gapful number since it is divisible by the number (12) 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 120914906112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255528483840).

120914906112 is an abundant number, since it is smaller than the sum of its proper divisors (390142061568).

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

120914906112 is a wasteful number, since it uses less digits than its factorization.

120914906112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

It can be divided in two parts, 1209 and 14906112, that added together give a square (14907321 = 3861²).

The spelling of 120914906112 in words is "one hundred twenty billion, nine hundred fourteen million, nine hundred six thousand, one hundred twelve".