1213242400 has 72 divisors (see below), whose sum is σ = 3136088340. Its totient is φ = 456744960.

The previous prime is 1213242389. The next prime is 1213242403. The reversal of 1213242400 is 42423121.

It can be written as a sum of positive squares in 6 ways, for example, as 467078544 + 746163856 = 21612^2 + 27316^2 .

It is not an unprimeable number, because it can be changed into a prime (1213242403) 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, 31005 + ... + 58204.

Almost surely, 2^1213242400 is an apocalyptic number.

1213242400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1213242400 is an abundant number, since it is smaller than the sum of its proper divisors (1922845940).

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

1213242400 is a wasteful number, since it uses less digits than its factorization.

1213242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89246 (or 89233 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 1213242400 is about 34831.6293044124. The cubic root of 1213242400 is about 1066.5532084183.

Adding to 1213242400 its reverse (42423121), we get a palindrome (1255665521).

The spelling of 1213242400 in words is "one billion, two hundred thirteen million, two hundred forty-two thousand, four hundred".