120153061200 has 240 divisors, whose sum is σ = 397837885952. Its totient is φ = 30998016000.

The previous prime is 120153061163. The next prime is 120153061201. The reversal of 120153061200 is 2160351021.

120153061200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120153061201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35747520 + ... + 35750880.

Almost surely, 2^120153061200 is an apocalyptic number.

120153061200 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 120153061200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198918942976).

120153061200 is an abundant number, since it is smaller than the sum of its proper divisors (277684824752).

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

120153061200 is an equidigital number, since it uses as much as digits as its factorization.

120153061200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3475 (or 3402 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The spelling of 120153061200 in words is "one hundred twenty billion, one hundred fifty-three million, sixty-one thousand, two hundred".