11972800512 has 312 divisors, whose sum is σ = 37495645824. Its totient is φ = 3810115584.

The previous prime is 11972800507. The next prime is 11972800529. The reversal of 11972800512 is 21500827911.

It is a happy number.

11972800512 is a `hidden beast` number, since 119 + 7 + 28 + 0 + 0 + 512 = 666.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22892283 + ... + 22892805.

It is an arithmetic number, because the mean of its divisors is an integer number (120178352).

Almost surely, 2^11972800512 is an apocalyptic number.

11972800512 is a gapful number since it is divisible by the number (12) 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 11972800512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18747822912).

11972800512 is an abundant number, since it is smaller than the sum of its proper divisors (25522845312).

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

11972800512 is an frugal number, since it uses more digits than its factorization.

11972800512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The spelling of 11972800512 in words is "eleven billion, nine hundred seventy-two million, eight hundred thousand, five hundred twelve".