12461404800 has 384 divisors, whose sum is σ = 45642078720. Its totient is φ = 2967552000.

The previous prime is 12461404799. The next prime is 12461404811. The reversal of 12461404800 is 840416421.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 3867190 + ... + 3870410.

It is an arithmetic number, because the mean of its divisors is an integer number (118859580).

Almost surely, 2^12461404800 is an apocalyptic number.

12461404800 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 12461404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22821039360).

12461404800 is an abundant number, since it is smaller than the sum of its proper divisors (33180673920).

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

12461404800 is a wasteful number, since it uses less digits than its factorization.

12461404800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3292 (or 3275 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The spelling of 12461404800 in words is "twelve billion, four hundred sixty-one million, four hundred four thousand, eight hundred".