12414834900 has 144 divisors (see below), whose sum is σ = 42981624000. Its totient is φ = 3055950720.

The previous prime is 12414834893. The next prime is 12414834907. The reversal of 12414834900 is 943841421.

It is a happy number.

12414834900 is a `hidden beast` number, since 1 + 24 + 148 + 3 + 490 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12414834893) and next prime (12414834907).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12414834907) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141750 + ... + 211949.

It is an arithmetic number, because the mean of its divisors is an integer number (298483500).

Almost surely, 2^12414834900 is an apocalyptic number.

12414834900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12414834900 is an abundant number, since it is smaller than the sum of its proper divisors (30566789100).

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

12414834900 is a wasteful number, since it uses less digits than its factorization.

12414834900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353735 (or 353722 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 12414834900 in words is "twelve billion, four hundred fourteen million, eight hundred thirty-four thousand, nine hundred".