12252686040 has 384 divisors, whose sum is σ = 47794406400. Its totient is φ = 2661626880.

The previous prime is 12252686027. The next prime is 12252686071. The reversal of 12252686040 is 4068625221.

It is a happy number.

12252686040 is a `hidden beast` number, since 1 + 2 + 25 + 26 + 8 + 604 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12252685986 and 12252686004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10374250 + ... + 10375430.

It is an arithmetic number, because the mean of its divisors is an integer number (124464600).

Almost surely, 2^12252686040 is an apocalyptic number.

12252686040 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 12252686040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23897203200).

12252686040 is an abundant number, since it is smaller than the sum of its proper divisors (35541720360).

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

12252686040 is a wasteful number, since it uses less digits than its factorization.

12252686040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1407 (or 1400 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 12252686040 in words is "twelve billion, two hundred fifty-two million, six hundred eighty-six thousand, forty".