12902213628480 has 896 divisors, whose sum is σ = 46287357548544. Its totient is φ = 3017819750400.

The previous prime is 12902213628463. The next prime is 12902213628527. The reversal of 12902213628480 is 8482631220921.

It is a super-2 number, since 2×12902213628480² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23587227567 + ... + 23587228113.

It is an arithmetic number, because the mean of its divisors is an integer number (51659997264).

Almost surely, 2^{12902213628480} is an apocalyptic number.

12902213628480 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 12902213628480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23143678774272).

12902213628480 is an abundant number, since it is smaller than the sum of its proper divisors (33385143920064).

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

12902213628480 is a wasteful number, since it uses less digits than its factorization.

12902213628480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 12902213628480 in words is "twelve trillion, nine hundred two billion, two hundred thirteen million, six hundred twenty-eight thousand, four hundred eighty".