12284075790 has 128 divisors (see below), whose sum is σ = 37492485120. Its totient is φ = 2803641984.

The previous prime is 12284075777. The next prime is 12284075821. The reversal of 12284075790 is 9757048221.

It is a happy number.

12284075790 is a `hidden beast` number, since 12 + 28 + 40 + 7 + 579 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1380937 + ... + 1389803.

It is an arithmetic number, because the mean of its divisors is an integer number (292910040).

Almost surely, 2^12284075790 is an apocalyptic number.

12284075790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12284075790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18746242560).

12284075790 is an abundant number, since it is smaller than the sum of its proper divisors (25208409330).

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

12284075790 is a wasteful number, since it uses less digits than its factorization.

12284075790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9623 (or 9617 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 12284075790 in words is "twelve billion, two hundred eighty-four million, seventy-five thousand, seven hundred ninety".