120377712 has 240 divisors, whose sum is σ = 405307392. Its totient is φ = 30481920.

The previous prime is 120377701. The next prime is 120377717. The reversal of 120377712 is 217773021.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 120377712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120377717) by changing a digit.

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, 947793 + ... + 947919.

Almost surely, 2^120377712 is an apocalyptic number.

120377712 is a gapful number since it is divisible by the number (12) 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 120377712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202653696).

120377712 is an abundant number, since it is smaller than the sum of its proper divisors (284929680).

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

120377712 is a wasteful number, since it uses less digits than its factorization.

120377712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 4116, while the sum is 30.

The square root of 120377712 is about 10971.6777203853. The cubic root of 120377712 is about 493.7593827838.

The spelling of 120377712 in words is "one hundred twenty million, three hundred seventy-seven thousand, seven hundred twelve".