12988455602500 has 225 divisors, whose sum is σ = 33157583044971. Its totient is φ = 4450157460000.

The previous prime is 12988455602497. The next prime is 12988455602579. The reversal of 12988455602500 is 520655488921.

The square root of 12988455602500 is 3603950.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 1018294919236 + 11970160683264 = 1009106^2 + 3459792^2 .

It is a super-2 number, since 2×12988455602500² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 8829676765 + ... + 8829678235.

Almost surely, 2^{12988455602500} is an apocalyptic number.

12988455602500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12988455602500 is the 3603950-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12988455602500

12988455602500 is an abundant number, since it is smaller than the sum of its proper divisors (20169127442471).

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

12988455602500 is an frugal number, since it uses more digits than its factorization.

12988455602500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2994 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 55.

The spelling of 12988455602500 in words is "twelve trillion, nine hundred eighty-eight billion, four hundred fifty-five million, six hundred two thousand, five hundred".