10122910960 has 80 divisors (see below), whose sum is σ = 24373573920. Its totient is φ = 3907537920.

The previous prime is 10122910951. The next prime is 10122910969. The reversal of 10122910960 is 6901922101.

It is an interprime number because it is at equal distance from previous prime (10122910951) and next prime (10122910969).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122910969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 239071 + ... + 278209.

It is an arithmetic number, because the mean of its divisors is an integer number (304669674).

Almost surely, 2^10122910960 is an apocalyptic number.

10122910960 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 10122910960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12186786960).

10122910960 is an abundant number, since it is smaller than the sum of its proper divisors (14250662960).

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

10122910960 is a wasteful number, since it uses less digits than its factorization.

10122910960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39266 (or 39260 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 31.

The spelling of 10122910960 in words is "ten billion, one hundred twenty-two million, nine hundred ten thousand, nine hundred sixty".