120410656632 has 192 divisors, whose sum is σ = 387867916800. Its totient is φ = 33017160960.

The previous prime is 120410656631. The next prime is 120410656657. The reversal of 120410656632 is 236656014021.

120410656632 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 10 + 6 + 5 + 6 + 632 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120410656631) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2416207 + ... + 2465537.

It is an arithmetic number, because the mean of its divisors is an integer number (2020145400).

Almost surely, 2^120410656632 is an apocalyptic number.

120410656632 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 120410656632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193933958400).

120410656632 is an abundant number, since it is smaller than the sum of its proper divisors (267457260168).

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

120410656632 is a wasteful number, since it uses less digits than its factorization.

120410656632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49546 (or 49539 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 120410656632 in words is "one hundred twenty billion, four hundred ten million, six hundred fifty-six thousand, six hundred thirty-two".