12070128960 has 84 divisors (see below), whose sum is σ = 41516224308. Its totient is φ = 3218700288.

The previous prime is 12070128953. The next prime is 12070129039. The reversal of 12070128960 is 6982107021.

It can be written as a sum of positive squares in 2 ways, for example, as 6792397056 + 5277731904 = 82416^2 + 72648^2 .

It is a super-3 number, since 3×12070128960³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 11 ways as a sum of consecutive naturals, for example, 2092629 + ... + 2098388.

Almost surely, 2^12070128960 is an apocalyptic number.

12070128960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12070128960 is an abundant number, since it is smaller than the sum of its proper divisors (29446095348).

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

12070128960 is a wasteful number, since it uses less digits than its factorization.

12070128960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4191040 (or 4191027 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 12070128960 in words is "twelve billion, seventy million, one hundred twenty-eight thousand, nine hundred sixty".