12134707200 has 1560 divisors, whose sum is σ = 58990926720. Its totient is φ = 2388787200.

The previous prime is 12134707187. The next prime is 12134707213. The reversal of 12134707200 is 270743121.

It is a happy number.

12134707200 is a `hidden beast` number, since 121 + 3 + 470 + 72 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12134707187) and next prime (12134707213).

It is a super-2 number, since 2×12134707200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 638668791 + ... + 638668809.

Almost surely, 2^12134707200 is an apocalyptic number.

12134707200 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 12134707200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29495463360).

12134707200 is an abundant number, since it is smaller than the sum of its proper divisors (46856219520).

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

12134707200 is a wasteful number, since it uses less digits than its factorization.

12134707200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The spelling of 12134707200 in words is "twelve billion, one hundred thirty-four million, seven hundred seven thousand, two hundred".