1242108400 has 120 divisors (see below), whose sum is σ = 3403000944. Its totient is φ = 431616000.

The previous prime is 1242108379. The next prime is 1242108401. The reversal of 1242108400 is 48012421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1242108401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81375 + ... + 95425.

Almost surely, 2^1242108400 is an apocalyptic number.

1242108400 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 1242108400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1701500472).

1242108400 is an abundant number, since it is smaller than the sum of its proper divisors (2160892544).

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

1242108400 is a wasteful number, since it uses less digits than its factorization.

1242108400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14099 (or 14088 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 1242108400 is about 35243.5582766553. The cubic root of 1242108400 is about 1074.9456327291.

The spelling of 1242108400 in words is "one billion, two hundred forty-two million, one hundred eight thousand, four hundred".