12074772240 has 240 divisors, whose sum is σ = 43985528496. Its totient is φ = 2956492800.

The previous prime is 12074772239. The next prime is 12074772271. The reversal of 12074772240 is 4227747021.

It is a happy number.

12074772240 is a `hidden beast` number, since 120 + 7 + 477 + 22 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 265168656 + 11809603584 = 16284^2 + 108672^2 .

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 12074772195 and 12074772204.

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, 489810 + ... + 513870.

Almost surely, 2^12074772240 is an apocalyptic number.

12074772240 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 12074772240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21992764248).

12074772240 is an abundant number, since it is smaller than the sum of its proper divisors (31910756256).

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

12074772240 is a wasteful number, since it uses less digits than its factorization.

12074772240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24138 (or 24129 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 36.

The spelling of 12074772240 in words is "twelve billion, seventy-four million, seven hundred seventy-two thousand, two hundred forty".