120290775840 has 192 divisors, whose sum is σ = 428962262400. Its totient is φ = 31472243712.

The previous prime is 120290775811. The next prime is 120290775851. The reversal of 120290775840 is 48577092021.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33730 + ... + 491649.

It is an arithmetic number, because the mean of its divisors is an integer number (2234178450).

Almost surely, 2^120290775840 is an apocalyptic number.

120290775840 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 120290775840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214481131200).

120290775840 is an abundant number, since it is smaller than the sum of its proper divisors (308671486560).

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

120290775840 is a wasteful number, since it uses less digits than its factorization.

120290775840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525456 (or 525442 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 120290775840 in words is "one hundred twenty billion, two hundred ninety million, seven hundred seventy-five thousand, eight hundred forty".