120252549120 has 768 divisors, whose sum is σ = 450638173440. Its totient is φ = 27278704640.

The previous prime is 120252549083. The next prime is 120252549133. The reversal of 120252549120 is 21945252021.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 695101354 + ... + 695101526.

It is an arithmetic number, because the mean of its divisors is an integer number (586768455).

Almost surely, 2^120252549120 is an apocalyptic number.

120252549120 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 120252549120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225319086720).

120252549120 is an abundant number, since it is smaller than the sum of its proper divisors (330385624320).

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

120252549120 is a wasteful number, since it uses less digits than its factorization.

120252549120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The spelling of 120252549120 in words is "one hundred twenty billion, two hundred fifty-two million, five hundred forty-nine thousand, one hundred twenty".