12985296330240 has 1920 divisors, whose sum is σ = 53894625523200. Its totient is φ = 2952222474240.

The previous prime is 12985296330161. The next prime is 12985296330269. The reversal of 12985296330240 is 4203369258921.

12985296330240 is a `hidden beast` number, since 1 + 2 + 9 + 8 + 5 + 296 + 3 + 302 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×12985296330240² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9099716407 + ... + 9099717833.

It is an arithmetic number, because the mean of its divisors is an integer number (28070117460).

Almost surely, 2^{12985296330240} is an apocalyptic number.

12985296330240 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 12985296330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26947312761600).

12985296330240 is an abundant number, since it is smaller than the sum of its proper divisors (40909329192960).

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

12985296330240 is a wasteful number, since it uses less digits than its factorization.

12985296330240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1545 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 12985296330240 in words is "twelve trillion, nine hundred eighty-five billion, two hundred ninety-six million, three hundred thirty thousand, two hundred forty".