120032841600 has 768 divisors, whose sum is σ = 523930752000. Its totient is φ = 26240163840.

The previous prime is 120032841559. The next prime is 120032841629. The reversal of 120032841600 is 6148230021.

120032841600 is a `hidden beast` number, since 1 + 20 + 0 + 32 + 8 + 4 + 1 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13906086 + ... + 13914714.

It is an arithmetic number, because the mean of its divisors is an integer number (682201500).

Almost surely, 2^120032841600 is an apocalyptic number.

120032841600 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 120032841600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261965376000).

120032841600 is an abundant number, since it is smaller than the sum of its proper divisors (403897910400).

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

120032841600 is a wasteful number, since it uses less digits than its factorization.

120032841600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8692 (or 8669 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 120032841600 in words is "one hundred twenty billion, thirty-two million, eight hundred forty-one thousand, six hundred".