1242400512 has 72 divisors (see below), whose sum is σ = 3312514576. Its totient is φ = 413392896.

The previous prime is 1242400459. The next prime is 1242400517. The reversal of 1242400512 is 2150042421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1242400517) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 580308 + ... + 582444.

Almost surely, 2^1242400512 is an apocalyptic number.

1242400512 is a gapful number since it is divisible by the number (12) 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 1242400512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1656257288).

1242400512 is an abundant number, since it is smaller than the sum of its proper divisors (2070114064).

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

1242400512 is an equidigital number, since it uses as much as digits as its factorization.

1242400512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2913 (or 2899 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 1242400512 is about 35247.7022229819. The cubic root of 1242400512 is about 1075.0298926607.

Adding to 1242400512 its reverse (2150042421), we get a palindrome (3392442933).

The spelling of 1242400512 in words is "one billion, two hundred forty-two million, four hundred thousand, five hundred twelve".