120751680 has 336 divisors, whose sum is σ = 475341696. Its totient is φ = 25804800.

The previous prime is 120751667. The next prime is 120751699. The reversal of 120751680 is 86157021.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 799605 + ... + 799755.

Almost surely, 2^120751680 is an apocalyptic number.

120751680 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 120751680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237670848).

120751680 is an abundant number, since it is smaller than the sum of its proper divisors (354590016).

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

120751680 is a wasteful number, since it uses less digits than its factorization.

120751680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 120751680 is about 10988.7069302989. The cubic root of 120751680 is about 494.2701620700.

The spelling of 120751680 in words is "one hundred twenty million, seven hundred fifty-one thousand, six hundred eighty".