1207268899200 has 2880 divisors, whose sum is σ = 5802950462400. Its totient is φ = 236702269440.

The previous prime is 1207268899157. The next prime is 1207268899231. The reversal of 1207268899200 is 29988627021.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 15281884761 + ... + 15281884839.

It is an arithmetic number, because the mean of its divisors is an integer number (2014913355).

Almost surely, 2^{1207268899200} is an apocalyptic number.

1207268899200 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 1207268899200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2901475231200).

1207268899200 is an abundant number, since it is smaller than the sum of its proper divisors (4595681563200).

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

1207268899200 is a wasteful number, since it uses less digits than its factorization.

1207268899200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 1207268899200 in words is "one trillion, two hundred seven billion, two hundred sixty-eight million, eight hundred ninety-nine thousand, two hundred".