20120128000 has 320 divisors, whose sum is σ = 58054284288. Its totient is φ = 6812467200.

The previous prime is 20120127971. The next prime is 20120128019. The reversal of 20120128000 is 82102102.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43455769 + ... + 43456231.

Almost surely, 2^20120128000 is an apocalyptic number.

20120128000 is a gapful number since it is divisible by the number (20) 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 20120128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29027142144).

20120128000 is an abundant number, since it is smaller than the sum of its proper divisors (37934156288).

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

20120128000 is an frugal number, since it uses more digits than its factorization.

20120128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The spelling of 20120128000 in words is "twenty billion, one hundred twenty million, one hundred twenty-eight thousand".