1242331600 has 60 divisors (see below), whose sum is σ = 3001548960. Its totient is φ = 494128000.

The previous prime is 1242331561. The next prime is 1242331639. The reversal of 1242331600 is 61332421.

It is an interprime number because it is at equal distance from previous prime (1242331561) and next prime (1242331639).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62925 + ... + 80275.

It is an arithmetic number, because the mean of its divisors is an integer number (50025816).

Almost surely, 2^1242331600 is an apocalyptic number.

1242331600 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 1242331600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1500774480).

1242331600 is an abundant number, since it is smaller than the sum of its proper divisors (1759217360).

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

1242331600 is a wasteful number, since it uses less digits than its factorization.

1242331600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17548 (or 17537 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 1242331600 is about 35246.7246705279. The cubic root of 1242331600 is about 1075.0100161317.

The spelling of 1242331600 in words is "one billion, two hundred forty-two million, three hundred thirty-one thousand, six hundred".