1242214400 has 156 divisors (see below), whose sum is σ = 3522392112. Its totient is φ = 425656320.

The previous prime is 1242214399. The next prime is 1242214409. The reversal of 1242214400 is 44122421.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1242214409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 715934 + ... + 717666.

Almost surely, 2^1242214400 is an apocalyptic number.

1242214400 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 1242214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761196056).

1242214400 is an abundant number, since it is smaller than the sum of its proper divisors (2280177712).

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

1242214400 is an equidigital number, since it uses as much as digits as its factorization.

1242214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1774 (or 1747 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 1242214400 is about 35245.0620654866. The cubic root of 1242214400 is about 1074.9762100378.

Adding to 1242214400 its reverse (44122421), we get a palindrome (1286336821).

The spelling of 1242214400 in words is "one billion, two hundred forty-two million, two hundred fourteen thousand, four hundred".