12411899136 has 432 divisors, whose sum is σ = 45997358400. Its totient is φ = 3272306688.

The previous prime is 12411899119. The next prime is 12411899153. The reversal of 12411899136 is 63199811421.

12411899136 is a `hidden beast` number, since 12 + 411 + 8 + 99 + 136 = 666.

It is an interprime number because it is at equal distance from previous prime (12411899119) and next prime (12411899153).

It is a tau number, because it is divible by the number of its divisors (432).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12411899091 and 12411899100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4401535 + ... + 4404353.

Almost surely, 2^12411899136 is an apocalyptic number.

12411899136 is a gapful number since it is divisible by the number (16) 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 12411899136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22998679200).

12411899136 is an abundant number, since it is smaller than the sum of its proper divisors (33585459264).

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

12411899136 is a wasteful number, since it uses less digits than its factorization.

12411899136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2871 (or 2844 counting only the distinct ones).

The product of its digits is 93312, while the sum is 45.

The spelling of 12411899136 in words is "twelve billion, four hundred eleven million, eight hundred ninety-nine thousand, one hundred thirty-six".