12114756000 has 144 divisors (see below), whose sum is σ = 42995396808. Its totient is φ = 3230592000.

The previous prime is 12114755999. The next prime is 12114756001. The reversal of 12114756000 is 65741121.

It is a happy number.

12114756000 is a `hidden beast` number, since 1 + 2 + 11 + 47 + 5 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12114755999) and next prime (12114756001).

It can be written as a sum of positive squares in 4 ways, for example, as 7973061264 + 4141694736 = 89292^2 + 64356^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (12114756001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132261 + ... + 204260.

Almost surely, 2^12114756000 is an apocalyptic number.

12114756000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12114756000 is an abundant number, since it is smaller than the sum of its proper divisors (30880640808).

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

12114756000 is a wasteful number, since it uses less digits than its factorization.

12114756000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336552 (or 336531 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

It can be divided in two parts, 121147 and 56000, that added together give a 11-th power (177147 = 3¹¹).

The spelling of 12114756000 in words is "twelve billion, one hundred fourteen million, seven hundred fifty-six thousand".