10127685312 has 420 divisors, whose sum is σ = 32765640336. Its totient is φ = 3086899200.

The previous prime is 10127685301. The next prime is 10127685329. The reversal of 10127685312 is 21358672101.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 100274062 + ... + 100274162.

Almost surely, 2^10127685312 is an apocalyptic number.

10127685312 is a gapful number since it is divisible by the number (12) 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 10127685312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16382820168).

10127685312 is an abundant number, since it is smaller than the sum of its proper divisors (22637955024).

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

10127685312 is a wasteful number, since it uses less digits than its factorization.

10127685312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 10127685312 in words is "ten billion, one hundred twenty-seven million, six hundred eighty-five thousand, three hundred twelve".