1245196800 has 300 divisors, whose sum is σ = 4612402146. Its totient is φ = 331776000.

The previous prime is 1245196783. The next prime is 1245196801. The reversal of 1245196800 is 86915421.

It can be written as a sum of positive squares in 3 ways, for example, as 472801536 + 772395264 = 21744^2 + 27792^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1245196801) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1036200 + ... + 1037400.

Almost surely, 2^1245196800 is an apocalyptic number.

1245196800 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 1245196800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2306201073).

1245196800 is an abundant number, since it is smaller than the sum of its proper divisors (3367205346).

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

1245196800 is an equidigital number, since it uses as much as digits as its factorization.

1245196800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1245196800 is about 35287.3461739474. The cubic root of 1245196800 is about 1075.8358165396.

The spelling of 1245196800 in words is "one billion, two hundred forty-five million, one hundred ninety-six thousand, eight hundred".