12692172480 has 224 divisors, whose sum is σ = 44895211200. Its totient is φ = 3016409088.

The previous prime is 12692172457. The next prime is 12692172497. The reversal of 12692172480 is 8427129621.

It is a super-2 number, since 2×12692172480² (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 31 ways as a sum of consecutive naturals, for example, 344386 + ... + 379454.

It is an arithmetic number, because the mean of its divisors is an integer number (200425050).

Almost surely, 2^12692172480 is an apocalyptic number.

12692172480 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 12692172480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22447605600).

12692172480 is an abundant number, since it is smaller than the sum of its proper divisors (32203038720).

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

12692172480 is a wasteful number, since it uses less digits than its factorization.

12692172480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35131 (or 35121 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 12692172480 in words is "twelve billion, six hundred ninety-two million, one hundred seventy-two thousand, four hundred eighty".