12697174828800 has 3240 divisors, whose sum is σ = 60663369545856. Its totient is φ = 2545551360000.

The previous prime is 12697174828787. The next prime is 12697174828817. The reversal of 12697174828800 is 882847179621.

12697174828800 is a `hidden beast` number, since 1 + 2 + 6 + 9 + 71 + 7 + 482 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

It is a super-2 number, since 2×12697174828800² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 38360044635 + ... + 38360044965.

Almost surely, 2^{12697174828800} is an apocalyptic number.

12697174828800 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 12697174828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30331684772928).

12697174828800 is an abundant number, since it is smaller than the sum of its proper divisors (47966194717056).

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

12697174828800 is a wasteful number, since it uses less digits than its factorization.

12697174828800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 63.

The spelling of 12697174828800 in words is "twelve trillion, six hundred ninety-seven billion, one hundred seventy-four million, eight hundred twenty-eight thousand, eight hundred".