1242265600 has 144 divisors (see below), whose sum is σ = 3244714200. Its totient is φ = 470384640.

The previous prime is 1242265579. The next prime is 1242265603. The reversal of 1242265600 is 65622421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1242265603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 972162 + ... + 973438.

Almost surely, 2^1242265600 is an apocalyptic number.

1242265600 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 1242265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1622357100).

1242265600 is an abundant number, since it is smaller than the sum of its proper divisors (2002448600).

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

1242265600 is a wasteful number, since it uses less digits than its factorization.

1242265600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 1242265600 is about 35245.7884008856. The cubic root of 1242265600 is about 1074.9909788318.

The spelling of 1242265600 in words is "one billion, two hundred forty-two million, two hundred sixty-five thousand, six hundred".