120749035680 has 288 divisors, whose sum is σ = 507146500224. Its totient is φ = 25476691968.

The previous prime is 120749035669. The next prime is 120749035691. The reversal of 120749035680 is 86530947021.

120749035680 is a `hidden beast` number, since 1 + 207 + 4 + 90 + 356 + 8 + 0 = 666.

120749035680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (120749035669) and next prime (120749035691).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 329694 + ... + 591773.

It is an arithmetic number, because the mean of its divisors is an integer number (1760925348).

It is a 1-persistent number, because it is pandigital, but 2⋅120749035680 = 241498071360 is not.

Almost surely, 2^120749035680 is an apocalyptic number.

120749035680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120749035680 is an abundant number, since it is smaller than the sum of its proper divisors (386397464544).

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

120749035680 is a wasteful number, since it uses less digits than its factorization.

120749035680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921508 (or 921497 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 120749035680 in words is "one hundred twenty billion, seven hundred forty-nine million, thirty-five thousand, six hundred eighty".