12324182101920 has 240 divisors, whose sum is σ = 46839792744360. Its totient is φ = 3033644783616.

The previous prime is 12324182101919. The next prime is 12324182101927. The reversal of 12324182101920 is 2910128142321.

It is a happy number.

12324182101920 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 418 + 210 + 1 + 9 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6932330916624 + 5391851185296 = 2632932^2 + 2322036^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (12324182101927) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 36406135 + ... + 36743094.

Almost surely, 2^{12324182101920} is an apocalyptic number.

12324182101920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12324182101920 is an abundant number, since it is smaller than the sum of its proper divisors (34515610642440).

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

12324182101920 is a wasteful number, since it uses less digits than its factorization.

12324182101920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73149269 (or 73149252 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 12324182101920 in words is "twelve trillion, three hundred twenty-four billion, one hundred eighty-two million, one hundred one thousand, nine hundred twenty".