120832266240 has 1664 divisors, whose sum is σ = 543515443200. Its totient is φ = 24843386880.

The previous prime is 120832266197. The next prime is 120832266251. The reversal of 120832266240 is 42662238021.

120832266240 is a `hidden beast` number, since 1 + 2 + 0 + 8 + 3 + 2 + 26 + 624 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 120832266195 and 120832266204.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2279854054 + ... + 2279854106.

Almost surely, 2^120832266240 is an apocalyptic number.

120832266240 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 120832266240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271757721600).

120832266240 is an abundant number, since it is smaller than the sum of its proper divisors (422683176960).

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

120832266240 is a wasteful number, since it uses less digits than its factorization.

120832266240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 120832266240 in words is "one hundred twenty billion, eight hundred thirty-two million, two hundred sixty-six thousand, two hundred forty".