120745528146432 has 1200 divisors, whose sum is σ = 442391450402880. Its totient is φ = 32626881036288.

The previous prime is 120745528146421. The next prime is 120745528146449. The reversal of 120745528146432 is 234641825547021.

120745528146432 is a `hidden beast` number, since 1 + 2 + 0 + 7 + 4 + 552 + 8 + 1 + 46 + 43 + 2 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4159751503 + ... + 4159780529.

Almost surely, 2^{120745528146432} is an apocalyptic number.

120745528146432 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 120745528146432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221195725201440).

120745528146432 is an abundant number, since it is smaller than the sum of its proper divisors (321645922256448).

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

120745528146432 is an equidigital number, since it uses as much as digits as its factorization.

120745528146432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29183 (or 29151 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 120745528146432 in words is "one hundred twenty trillion, seven hundred forty-five billion, five hundred twenty-eight million, one hundred forty-six thousand, four hundred thirty-two".