12461299200 has 1200 divisors, whose sum is σ = 56361865824. Its totient is φ = 2654208000.

The previous prime is 12461299187. The next prime is 12461299231. The reversal of 12461299200 is 299216421.

12461299200 is a `hidden beast` number, since 12 + 4 + 612 + 9 + 9 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 123379150 + ... + 123379250.

Almost surely, 2^12461299200 is an apocalyptic number.

12461299200 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 12461299200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28180932912).

12461299200 is an abundant number, since it is smaller than the sum of its proper divisors (43900566624).

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

12461299200 is a wasteful number, since it uses less digits than its factorization.

12461299200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 12461299200 in words is "twelve billion, four hundred sixty-one million, two hundred ninety-nine thousand, two hundred".