12401251200 has 768 divisors, whose sum is σ = 49952011200. Its totient is φ = 2985984000.

The previous prime is 12401251183. The next prime is 12401251211. The reversal of 12401251200 is 215210421.

12401251200 is a `hidden beast` number, since 12 + 401 + 2 + 51 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68515110 + ... + 68515290.

Almost surely, 2^12401251200 is an apocalyptic number.

12401251200 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 12401251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24976005600).

12401251200 is an abundant number, since it is smaller than the sum of its proper divisors (37550760000).

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

12401251200 is a wasteful number, since it uses less digits than its factorization.

12401251200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 12401251200 its reverse (215210421), we get a palindrome (12616461621).

The spelling of 12401251200 in words is "twelve billion, four hundred one million, two hundred fifty-one thousand, two hundred".