10095212408112 has 960 divisors, whose sum is σ = 34232009011200. Its totient is φ = 2853499622400.

The previous prime is 10095212408111. The next prime is 10095212408173. The reversal of 10095212408112 is 21180421259001.

10095212408112 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 521 + 2 + 40 + 81 + 12 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10095212408111) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6235460839 + ... + 6235462457.

It is an arithmetic number, because the mean of its divisors is an integer number (35658342720).

Almost surely, 2^{10095212408112} is an apocalyptic number.

10095212408112 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 10095212408112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17116004505600).

10095212408112 is an abundant number, since it is smaller than the sum of its proper divisors (24136796603088).

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

10095212408112 is a wasteful number, since it uses less digits than its factorization.

10095212408112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1868 (or 1850 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 10095212408112 in words is "ten trillion, ninety-five billion, two hundred twelve million, four hundred eight thousand, one hundred twelve".