120271968 has 144 divisors (see below), whose sum is σ = 363557376. Its totient is φ = 37635840.

The previous prime is 120271937. The next prime is 120271969. The reversal of 120271968 is 869172021.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120271969) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 443673 + ... + 443943.

It is an arithmetic number, because the mean of its divisors is an integer number (2524704).

Almost surely, 2^120271968 is an apocalyptic number.

120271968 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 120271968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181778688).

120271968 is an abundant number, since it is smaller than the sum of its proper divisors (243285408).

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

120271968 is a wasteful number, since it uses less digits than its factorization.

120271968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 120271968 is about 10966.8577085690. The cubic root of 120271968 is about 493.6147619148.

The spelling of 120271968 in words is "one hundred twenty million, two hundred seventy-one thousand, nine hundred sixty-eight".