12922616460000 has 480 divisors, whose sum is σ = 45692212436640. Its totient is φ = 3177971712000.

The previous prime is 12922616459971. The next prime is 12922616460023. The reversal of 12922616460000 is 6461622921.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 899332816 + ... + 899347184.

It is an arithmetic number, because the mean of its divisors is an integer number (95192109243).

Almost surely, 2^{12922616460000} is an apocalyptic number.

12922616460000 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 12922616460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22846106218320).

12922616460000 is an abundant number, since it is smaller than the sum of its proper divisors (32769595976640).

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

12922616460000 is a wasteful number, since it uses less digits than its factorization.

12922616460000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15568 (or 15545 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 12922616460000 in words is "twelve trillion, nine hundred twenty-two billion, six hundred sixteen million, four hundred sixty thousand".