10122505344 has 192 divisors, whose sum is σ = 34737805440. Its totient is φ = 2766348288.

The previous prime is 10122505319. The next prime is 10122505369. The reversal of 10122505344 is 44350522101.

10122505344 is a `hidden beast` number, since 1 + 0 + 122 + 5 + 0 + 534 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (10122505319) and next prime (10122505369).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×10122505344² (a number of 21 digits) contains 22 as substring.

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, 158184 + ... + 212760.

It is an arithmetic number, because the mean of its divisors is an integer number (180926070).

Almost surely, 2^10122505344 is an apocalyptic number.

10122505344 is a gapful number since it is divisible by the number (14) 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 10122505344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17368902720).

10122505344 is an abundant number, since it is smaller than the sum of its proper divisors (24615300096).

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

10122505344 is a wasteful number, since it uses less digits than its factorization.

10122505344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54627 (or 54612 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 10122505344 in words is "ten billion, one hundred twenty-two million, five hundred five thousand, three hundred forty-four".