12940680900 has 288 divisors, whose sum is σ = 45065115648. Its totient is φ = 2803046400.

The previous prime is 12940680871. The next prime is 12940680913. The reversal of 12940680900 is 908604921.

It is a super-2 number, since 2×12940680900² (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 95 ways as a sum of consecutive naturals, for example, 5456715 + ... + 5459085.

It is an arithmetic number, because the mean of its divisors is an integer number (156476096).

Almost surely, 2^12940680900 is an apocalyptic number.

12940680900 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 12940680900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22532557824).

12940680900 is an abundant number, since it is smaller than the sum of its proper divisors (32124434748).

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

12940680900 is a wasteful number, since it uses less digits than its factorization.

12940680900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2531 (or 2524 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The spelling of 12940680900 in words is "twelve billion, nine hundred forty million, six hundred eighty thousand, nine hundred".