10122633360 has 480 divisors, whose sum is σ = 40745582592. Its totient is φ = 2203407360.

The previous prime is 10122633359. The next prime is 10122633361. The reversal of 10122633360 is 6333622101.

It is a happy number.

10122633360 is a `hidden beast` number, since 1 + 0 + 1 + 22 + 633 + 3 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10122633359) and next prime (10122633361).

It is a super-2 number, since 2×10122633360² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10122633361) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10467597 + ... + 10468563.

Almost surely, 2^10122633360 is an apocalyptic number.

10122633360 is a gapful number since it is divisible by the number (10) 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 10122633360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20372791296).

10122633360 is an abundant number, since it is smaller than the sum of its proper divisors (30622949232).

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

10122633360 is a wasteful number, since it uses less digits than its factorization.

10122633360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The spelling of 10122633360 in words is "ten billion, one hundred twenty-two million, six hundred thirty-three thousand, three hundred sixty".