12140657100 has 864 divisors, whose sum is σ = 49136855040. Its totient is φ = 2460672000.

The previous prime is 12140657093. The next prime is 12140657101. The reversal of 12140657100 is 175604121.

It is a happy number.

12140657100 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 0 + 657 + 1 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (12140657101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 67824811 + ... + 67824989.

It is an arithmetic number, because the mean of its divisors is an integer number (56871360).

Almost surely, 2^12140657100 is an apocalyptic number.

12140657100 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 12140657100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24568427520).

12140657100 is an abundant number, since it is smaller than the sum of its proper divisors (36996197940).

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

12140657100 is a wasteful number, since it uses less digits than its factorization.

12140657100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 261 counting only the distinct ones).

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

The spelling of 12140657100 in words is "twelve billion, one hundred forty million, six hundred fifty-seven thousand, one hundred".