12427755200 has 168 divisors, whose sum is σ = 35149536000. Its totient is φ = 4236456960.

The previous prime is 12427755173. The next prime is 12427755217. The reversal of 12427755200 is 255772421.

It is a super-2 number, since 2×12427755200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2001701 + ... + 2007899.

Almost surely, 2^12427755200 is an apocalyptic number.

12427755200 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 12427755200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17574768000).

12427755200 is an abundant number, since it is smaller than the sum of its proper divisors (22721780800).

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

12427755200 is a wasteful number, since it uses less digits than its factorization.

12427755200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6407 (or 6392 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 35.

The spelling of 12427755200 in words is "twelve billion, four hundred twenty-seven million, seven hundred fifty-five thousand, two hundred".