120649880736 has 864 divisors, whose sum is σ = 465858993600. Its totient is φ = 29185228800.

The previous prime is 120649880713. The next prime is 120649880749. The reversal of 120649880736 is 637088946021.

120649880736 is a `hidden beast` number, since 1 + 2 + 0 + 6 + 498 + 80 + 73 + 6 = 666.

It is a super-2 number, since 2×120649880736² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 345701490 + ... + 345701838.

It is an arithmetic number, because the mean of its divisors is an integer number (539188650).

Almost surely, 2^120649880736 is an apocalyptic number.

120649880736 is a gapful number since it is divisible by the number (16) 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 120649880736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232929496800).

120649880736 is an abundant number, since it is smaller than the sum of its proper divisors (345209112864).

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

120649880736 is a wasteful number, since it uses less digits than its factorization.

120649880736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 120649880736 in words is "one hundred twenty billion, six hundred forty-nine million, eight hundred eighty thousand, seven hundred thirty-six".