120902748120 has 1280 divisors, whose sum is σ = 555504998400. Its totient is φ = 22806282240.

The previous prime is 120902748079. The next prime is 120902748151. The reversal of 120902748120 is 21847209021.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 122993149 + ... + 122994131.

It is an arithmetic number, because the mean of its divisors is an integer number (433988280).

Almost surely, 2^120902748120 is an apocalyptic number.

120902748120 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 120902748120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277752499200).

120902748120 is an abundant number, since it is smaller than the sum of its proper divisors (434602250280).

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

120902748120 is a wasteful number, since it uses less digits than its factorization.

120902748120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 120902748120 in words is "one hundred twenty billion, nine hundred two million, seven hundred forty-eight thousand, one hundred twenty".