1252242100 has 72 divisors (see below), whose sum is σ = 2899689408. Its totient is φ = 467750400.

The previous prime is 1252242071. The next prime is 1252242119. The reversal of 1252242100 is 12422521.

It is a super-2 number, since 2×1252242100² = 3136220554024820000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 219889 + ... + 225511.

It is an arithmetic number, because the mean of its divisors is an integer number (40273464).

Almost surely, 2^1252242100 is an apocalyptic number.

1252242100 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 1252242100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1449844704).

1252242100 is an abundant number, since it is smaller than the sum of its proper divisors (1647447308).

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

1252242100 is a wasteful number, since it uses less digits than its factorization.

1252242100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5785 (or 5778 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 1252242100 is about 35387.0329358086. The cubic root of 1252242100 is about 1077.8610213885.

Adding to 1252242100 its reverse (12422521), we get a palindrome (1264664621).

The spelling of 1252242100 in words is "one billion, two hundred fifty-two million, two hundred forty-two thousand, one hundred".