10120812871200 has 144 divisors (see below), whose sum is σ = 34881084030240. Its totient is φ = 2540125573120.

The previous prime is 10120812871199. The next prime is 10120812871229. The reversal of 10120812871200 is 217821802101.

It is a happy number.

10120812871200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123988770 + ... + 124070369.

It is an arithmetic number, because the mean of its divisors is an integer number (242229750210).

Almost surely, 2^{10120812871200} is an apocalyptic number.

10120812871200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120812871200 is an abundant number, since it is smaller than the sum of its proper divisors (24760271159040).

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

10120812871200 is a wasteful number, since it uses less digits than its factorization.

10120812871200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248059179 (or 248059166 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 33.

The spelling of 10120812871200 in words is "ten trillion, one hundred twenty billion, eight hundred twelve million, eight hundred seventy-one thousand, two hundred".