120870144 has 216 divisors, whose sum is σ = 379448160. Its totient is φ = 38320128.

The previous prime is 120870137. The next prime is 120870151. The reversal of 120870144 is 441078021.

It is an interprime number because it is at equal distance from previous prime (120870137) and next prime (120870151).

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1803999 + ... + 1804065.

Almost surely, 2^120870144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120870144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189724080).

120870144 is an abundant number, since it is smaller than the sum of its proper divisors (258578016).

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

120870144 is an frugal number, since it uses more digits than its factorization.

120870144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 120870144 is about 10994.0958700568. The cubic root of 120870144 is about 494.4317445919.

The spelling of 120870144 in words is "one hundred twenty million, eight hundred seventy thousand, one hundred forty-four".