10712091426192 has 240 divisors, whose sum is σ = 33372162259200. Its totient is φ = 3288371074560.

The previous prime is 10712091426143. The next prime is 10712091426203. The reversal of 10712091426192 is 29162419021701.

10712091426192 is a `hidden beast` number, since 1 + 0 + 7 + 1 + 20 + 9 + 1 + 4 + 2 + 619 + 2 = 666.

It is a super-2 number, since 2×10712091426192² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31296234 + ... + 31636662.

It is an arithmetic number, because the mean of its divisors is an integer number (139050676080).

Almost surely, 2^{10712091426192} is an apocalyptic number.

10712091426192 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 10712091426192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16686081129600).

10712091426192 is an abundant number, since it is smaller than the sum of its proper divisors (22660070833008).

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

10712091426192 is a wasteful number, since it uses less digits than its factorization.

10712091426192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340903 (or 340878 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 10712091426192 in words is "ten trillion, seven hundred twelve billion, ninety-one million, four hundred twenty-six thousand, one hundred ninety-two".