12455976000 has 672 divisors, whose sum is σ = 46291609728. Its totient is φ = 2947276800.

The previous prime is 12455975999. The next prime is 12455976019. The reversal of 12455976000 is 67955421.

It is a super-2 number, since 2×12455976000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 12455976000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 150071959 + ... + 150072041.

It is an arithmetic number, because the mean of its divisors is an integer number (68886324).

Almost surely, 2^12455976000 is an apocalyptic number.

12455976000 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 12455976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23145804864).

12455976000 is an abundant number, since it is smaller than the sum of its proper divisors (33835633728).

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

12455976000 is a wasteful number, since it uses less digits than its factorization.

12455976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The spelling of 12455976000 in words is "twelve billion, four hundred fifty-five million, nine hundred seventy-six thousand".