1242024400 has 60 divisors (see below), whose sum is σ = 2987414572. Its totient is φ = 496235520.

The previous prime is 1242024373. The next prime is 1242024461. The reversal of 1242024400 is 44202421.

It can be written as a sum of positive squares in 6 ways, for example, as 15904144 + 1226120256 = 3988^2 + 35016^2 .

It is a super-2 number, since 2×1242024400² = 3085249220390720000, which contains 22 as substring.

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, 580132 + ... + 582268.

Almost surely, 2^1242024400 is an apocalyptic number.

1242024400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1242024400 is an abundant number, since it is smaller than the sum of its proper divisors (1745390172).

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

1242024400 is a wasteful number, since it uses less digits than its factorization.

1242024400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3608 (or 3597 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 1242024400 is about 35242.3665493678. The cubic root of 1242024400 is about 1074.9214004188.

Adding to 1242024400 its reverse (44202421), we get a palindrome (1286226821).

The spelling of 1242024400 in words is "one billion, two hundred forty-two million, twenty-four thousand, four hundred".