120250428480 has 2016 divisors, whose sum is σ = 568120670208. Its totient is φ = 22693478400.

The previous prime is 120250428479. The next prime is 120250428533. The reversal of 120250428480 is 84824052021.

120250428480 is a `hidden beast` number, since 120 + 2 + 50 + 4 + 2 + 8 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×120250428480² (a number of 23 digits) contains 22 as substring.

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 polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2932937260 + ... + 2932937300.

It is an arithmetic number, because the mean of its divisors is an integer number (281805888).

Almost surely, 2^120250428480 is an apocalyptic number.

120250428480 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 120250428480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284060335104).

120250428480 is an abundant number, since it is smaller than the sum of its proper divisors (447870241728).

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

120250428480 is a wasteful number, since it uses less digits than its factorization.

120250428480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 120250428480 in words is "one hundred twenty billion, two hundred fifty million, four hundred twenty-eight thousand, four hundred eighty".