120071760 has 40 divisors (see below), whose sum is σ = 372223200. Its totient is φ = 32019072.

The previous prime is 120071759. The next prime is 120071761. The reversal of 120071760 is 67170021.

It is an interprime number because it is at equal distance from previous prime (120071759) and next prime (120071761).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 120071760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120071761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 249910 + ... + 250389.

It is an arithmetic number, because the mean of its divisors is an integer number (9305580).

Almost surely, 2^120071760 is an apocalyptic number.

120071760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120071760 is an abundant number, since it is smaller than the sum of its proper divisors (252151440).

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

120071760 is a wasteful number, since it uses less digits than its factorization.

120071760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500315 (or 500309 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 24.

The square root of 120071760 is about 10957.7260414741. The cubic root of 120071760 is about 493.3407149289.

The spelling of 120071760 in words is "one hundred twenty million, seventy-one thousand, seven hundred sixty".