120061200 has 120 divisors (see below), whose sum is σ = 439569088. Its totient is φ = 27440640.

The previous prime is 120061199. The next prime is 120061231. The reversal of 120061200 is 2160021.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 1254 + ... + 15546.

Almost surely, 2^120061200 is an apocalyptic number.

120061200 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 120061200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219784544).

120061200 is an abundant number, since it is smaller than the sum of its proper divisors (319507888).

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

120061200 is a wasteful number, since it uses less digits than its factorization.

120061200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14321 (or 14310 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 120061200 is about 10957.2441790808. The cubic root of 120061200 is about 493.3262518260.

The spelling of 120061200 in words is "one hundred twenty million, sixty-one thousand, two hundred".