120267972 has 144 divisors (see below), whose sum is σ = 349300224. Its totient is φ = 34560000.

The previous prime is 120267937. The next prime is 120268007. The reversal of 120267972 is 279762021.

It is an interprime number because it is at equal distance from previous prime (120267937) and next prime (120268007).

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 47 ways as a sum of consecutive naturals, for example, 1190722 + ... + 1190822.

It is an arithmetic number, because the mean of its divisors is an integer number (2425696).

Almost surely, 2^120267972 is an apocalyptic number.

120267972 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 120267972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174650112).

120267972 is an abundant number, since it is smaller than the sum of its proper divisors (229032252).

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

120267972 is a wasteful number, since it uses less digits than its factorization.

120267972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 120267972 is about 10966.6755217796. The cubic root of 120267972 is about 493.6092951202.

The spelling of 120267972 in words is "one hundred twenty million, two hundred sixty-seven thousand, nine hundred seventy-two".