12973064083200 has 1944 divisors, whose sum is σ = 52126914184800. Its totient is φ = 3074369126400.

The previous prime is 12973064083193. The next prime is 12973064083207. The reversal of 12973064083200 is 238046037921.

12973064083200 is a `hidden beast` number, since 1 + 2 + 9 + 7 + 30 + 6 + 408 + 3 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (12973064083193) and next prime (12973064083207).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12973064083207) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 65191276701 + ... + 65191276899.

Almost surely, 2^{12973064083200} is an apocalyptic number.

12973064083200 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 12973064083200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26063457092400).

12973064083200 is an abundant number, since it is smaller than the sum of its proper divisors (39153850101600).

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

12973064083200 is a wasteful number, since it uses less digits than its factorization.

12973064083200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 12973064083200 in words is "twelve trillion, nine hundred seventy-three billion, sixty-four million, eighty-three thousand, two hundred".