1242234400 has 216 divisors, whose sum is σ = 3425569812. Its totient is φ = 439296000.

The previous prime is 1242234379. The next prime is 1242234431. The reversal of 1242234400 is 44322421.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 94864 + 1242139536 = 308^2 + 35244^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

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 35 ways as a sum of consecutive naturals, for example, 3968644 + ... + 3968956.

Almost surely, 2^1242234400 is an apocalyptic number.

1242234400 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 1242234400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1712784906).

1242234400 is an abundant number, since it is smaller than the sum of its proper divisors (2183335412).

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

1242234400 is a wasteful number, since it uses less digits than its factorization.

1242234400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 1242234400 is about 35245.3457920333. The cubic root of 1242234400 is about 1074.9819791463.

Adding to 1242234400 its reverse (44322421), we get a palindrome (1286556821).

The spelling of 1242234400 in words is "one billion, two hundred forty-two million, two hundred thirty-four thousand, four hundred".