120460032705600 has 1512 divisors, whose sum is σ = 546873710029920. Its totient is φ = 25914021396480.

The previous prime is 120460032705599. The next prime is 120460032705653. The reversal of 120460032705600 is 6507230064021.

120460032705600 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 60 + 0 + 32 + 7 + 0 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 323684431 + ... + 324056369.

It is an arithmetic number, because the mean of its divisors is an integer number (361688961660).

Almost surely, 2^{120460032705600} is an apocalyptic number.

120460032705600 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 120460032705600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273436855014960).

120460032705600 is an abundant number, since it is smaller than the sum of its proper divisors (426413677324320).

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

120460032705600 is a wasteful number, since it uses less digits than its factorization.

120460032705600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372007 (or 371973 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Adding to 120460032705600 its reverse (6507230064021), we get a palindrome (126967262769621).

The spelling of 120460032705600 in words is "one hundred twenty trillion, four hundred sixty billion, thirty-two million, seven hundred five thousand, six hundred".