1242579312 has 160 divisors (see below), whose sum is σ = 3882320960. Its totient is φ = 378224640.

The previous prime is 1242579311. The next prime is 1242579343. The reversal of 1242579312 is 2139752421.

1242579312 is a `hidden beast` number, since 12 + 42 + 579 + 31 + 2 = 666.

It is a super-2 number, since 2×1242579312² = 3088006693220786688, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1242579311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 543612 + ... + 545892.

It is an arithmetic number, because the mean of its divisors is an integer number (24264506).

Almost surely, 2^1242579312 is an apocalyptic number.

1242579312 is a gapful number since it is divisible by the number (12) 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 1242579312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1941160480).

1242579312 is an abundant number, since it is smaller than the sum of its proper divisors (2639741648).

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

1242579312 is a wasteful number, since it uses less digits than its factorization.

1242579312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2408 (or 2396 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 1242579312 is about 35250.2384672785. The cubic root of 1242579312 is about 1075.0814611426.

The spelling of 1242579312 in words is "one billion, two hundred forty-two million, five hundred seventy-nine thousand, three hundred twelve".