1242415100 has 72 divisors (see below), whose sum is σ = 2801539440. Its totient is φ = 477675520.

The previous prime is 1242415099. The next prime is 1242415147. The reversal of 1242415100 is 15142421.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 744467 + ... + 746133.

It is an arithmetic number, because the mean of its divisors is an integer number (38910270).

Almost surely, 2^1242415100 is an apocalyptic number.

1242415100 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 1242415100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1400769720).

1242415100 is an abundant number, since it is smaller than the sum of its proper divisors (1559124340).

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

1242415100 is a wasteful number, since it uses less digits than its factorization.

1242415100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1967 (or 1960 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 1242415100 is about 35247.9091578493. The cubic root of 1242415100 is about 1075.0341002343.

Adding to 1242415100 its reverse (15142421), we get a palindrome (1257557521).

The spelling of 1242415100 in words is "one billion, two hundred forty-two million, four hundred fifteen thousand, one hundred".