12701852006400 has 576 divisors, whose sum is σ = 46689822597600. Its totient is φ = 3384716820480.

The previous prime is 12701852006387. The next prime is 12701852006447. The reversal of 12701852006400 is 460025810721.

12701852006400 is a `hidden beast` number, since 1 + 2 + 7 + 0 + 1 + 8 + 5 + 2 + 0 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×12701852006400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2727472872 + ... + 2727477528.

Almost surely, 2^{12701852006400} is an apocalyptic number.

12701852006400 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 12701852006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23344911298800).

12701852006400 is an abundant number, since it is smaller than the sum of its proper divisors (33987970591200).

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

12701852006400 is a wasteful number, since it uses less digits than its factorization.

12701852006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6671 (or 6640 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 12701852006400 in words is "twelve trillion, seven hundred one billion, eight hundred fifty-two million, six thousand, four hundred".