12990601680 has 480 divisors, whose sum is σ = 50014298880. Its totient is φ = 2771435520.

The previous prime is 12990601633. The next prime is 12990601693. The reversal of 12990601680 is 8610609921.

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

It is a congruent number.

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, 36185341 + ... + 36185699.

It is an arithmetic number, because the mean of its divisors is an integer number (104196456).

Almost surely, 2^12990601680 is an apocalyptic number.

12990601680 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 12990601680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25007149440).

12990601680 is an abundant number, since it is smaller than the sum of its proper divisors (37023697200).

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

12990601680 is a wasteful number, since it uses less digits than its factorization.

12990601680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The spelling of 12990601680 in words is "twelve billion, nine hundred ninety million, six hundred one thousand, six hundred eighty".