12292887960 has 96 divisors (see below), whose sum is σ = 40159117440. Its totient is φ = 3261100032.

The previous prime is 12292887949. The next prime is 12292887967. The reversal of 12292887960 is 6978829221.

It is a super-2 number, since 2×12292887960² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12292887897 and 12292887906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12292887967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18984 + ... + 157943.

It is an arithmetic number, because the mean of its divisors is an integer number (418324140).

Almost surely, 2^12292887960 is an apocalyptic number.

12292887960 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 12292887960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20079558720).

12292887960 is an abundant number, since it is smaller than the sum of its proper divisors (27866229480).

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

12292887960 is a wasteful number, since it uses less digits than its factorization.

12292887960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177137 (or 177130 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 12292887960 in words is "twelve billion, two hundred ninety-two million, eight hundred eighty-seven thousand, nine hundred sixty".