1242130400 has 108 divisors (see below), whose sum is σ = 3527539848. Its totient is φ = 425859840.

The previous prime is 1242130391. The next prime is 1242130411. The reversal of 1242130400 is 40312421.

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 17 ways as a sum of consecutive naturals, for example, 23357 + ... + 55043.

It is an arithmetic number, because the mean of its divisors is an integer number (32662406).

Almost surely, 2^1242130400 is an apocalyptic number.

1242130400 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 1242130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1763769924).

1242130400 is an abundant number, since it is smaller than the sum of its proper divisors (2285409448).

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

1242130400 is a wasteful number, since it uses less digits than its factorization.

1242130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31721 (or 31701 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 1242130400 is about 35243.8703890478. The cubic root of 1242130400 is about 1074.9519791060.

Adding to 1242130400 its reverse (40312421), we get a palindrome (1282442821).

The spelling of 1242130400 in words is "one billion, two hundred forty-two million, one hundred thirty thousand, four hundred".