120451968 has 256 divisors, whose sum is σ = 438681600. Its totient is φ = 31684608.

The previous prime is 120451951. The next prime is 120451999. The reversal of 120451968 is 869154021.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 314305 + ... + 314687.

It is an arithmetic number, because the mean of its divisors is an integer number (1713600).

Almost surely, 2^120451968 is an apocalyptic number.

120451968 is a gapful number since it is divisible by the number (18) 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 120451968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219340800).

120451968 is an abundant number, since it is smaller than the sum of its proper divisors (318229632).

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

120451968 is a wasteful number, since it uses less digits than its factorization.

120451968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 120451968 is about 10975.0611843397. The cubic root of 120451968 is about 493.8608884522.

The spelling of 120451968 in words is "one hundred twenty million, four hundred fifty-one thousand, nine hundred sixty-eight".