1242259200 has 864 divisors, whose sum is σ = 5677414400. Its totient is φ = 258785280.

The previous prime is 1242259199. The next prime is 1242259211. The reversal of 1242259200 is 29522421.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15724761 + ... + 15724839.

Almost surely, 2^1242259200 is an apocalyptic number.

1242259200 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 1242259200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2838707200).

1242259200 is an abundant number, since it is smaller than the sum of its proper divisors (4435155200).

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

1242259200 is a wasteful number, since it uses less digits than its factorization.

1242259200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1242259200 is about 35245.6976097793. The cubic root of 1242259200 is about 1074.9891327548.

The spelling of 1242259200 in words is "one billion, two hundred forty-two million, two hundred fifty-nine thousand, two hundred".