12940680480 has 288 divisors, whose sum is σ = 51067122624. Its totient is φ = 2730276864.

The previous prime is 12940680461. The next prime is 12940680541. The reversal of 12940680480 is 8408604921.

It is a super-2 number, since 2×12940680480² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 284599 + ... + 326921.

It is an arithmetic number, because the mean of its divisors is an integer number (177316398).

Almost surely, 2^12940680480 is an apocalyptic number.

12940680480 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 12940680480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25533561312).

12940680480 is an abundant number, since it is smaller than the sum of its proper divisors (38126442144).

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

12940680480 is a wasteful number, since it uses less digits than its factorization.

12940680480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42368 (or 42353 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 12940680480 in words is "twelve billion, nine hundred forty million, six hundred eighty thousand, four hundred eighty".