120829926240 has 576 divisors, whose sum is σ = 444974414976. Its totient is φ = 29750132736.

The previous prime is 120829926187. The next prime is 120829926251. The reversal of 120829926240 is 42629928021.

120829926240 is a `hidden beast` number, since 12 + 0 + 8 + 2 + 9 + 9 + 2 + 624 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 436208982 + ... + 436209258.

It is an arithmetic number, because the mean of its divisors is an integer number (772525026).

Almost surely, 2^120829926240 is an apocalyptic number.

120829926240 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 120829926240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222487207488).

120829926240 is an abundant number, since it is smaller than the sum of its proper divisors (324144488736).

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

120829926240 is a wasteful number, since it uses less digits than its factorization.

120829926240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 120829926240 in words is "one hundred twenty billion, eight hundred twenty-nine million, nine hundred twenty-six thousand, two hundred forty".