12073795977600 has 5376 divisors, whose sum is σ = 59243053916160. Its totient is φ = 2364899328000.

The previous prime is 12073795977559. The next prime is 12073795977619. The reversal of 12073795977600 is 677959737021.

12073795977600 is a `hidden beast` number, since 1 + 2 + 0 + 7 + 37 + 9 + 597 + 7 + 6 + 0 + 0 = 666.

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 671 ways as a sum of consecutive naturals, for example, 197931081570 + ... + 197931081630.

Almost surely, 2^{12073795977600} is an apocalyptic number.

12073795977600 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 12073795977600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29621526958080).

12073795977600 is an abundant number, since it is smaller than the sum of its proper divisors (47169257938560).

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

12073795977600 is a wasteful number, since it uses less digits than its factorization.

12073795977600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 35006580, while the sum is 63.

The spelling of 12073795977600 in words is "twelve trillion, seventy-three billion, seven hundred ninety-five million, nine hundred seventy-seven thousand, six hundred".