120139200 has 294 divisors, whose sum is σ = 447526664. Its totient is φ = 31726080.

The previous prime is 120139193. The next prime is 120139207. The reversal of 120139200 is 2931021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (120139193) and next prime (120139207).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120139207) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 1166349 + ... + 1166451.

Almost surely, 2^120139200 is an apocalyptic number.

120139200 is a gapful number since it is divisible by the number (10) 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 120139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223763332).

120139200 is an abundant number, since it is smaller than the sum of its proper divisors (327387464).

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

120139200 is an equidigital number, since it uses as much as digits as its factorization.

120139200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 120139200 is about 10960.8028902996. The cubic root of 120139200 is about 493.4330615688.

It can be divided in two parts, 1201 and 39200, that added together give a square (40401 = 201²).

The spelling of 120139200 in words is "one hundred twenty million, one hundred thirty-nine thousand, two hundred".