1298627251200 has 1320 divisors, whose sum is σ = 5100109146528. Its totient is φ = 325830574080.

The previous prime is 1298627251193. The next prime is 1298627251217. The reversal of 1298627251200 is 21527268921.

1298627251200 is a `hidden beast` number, since 1 + 2 + 9 + 8 + 62 + 72 + 512 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3481574214 + ... + 3481574586.

Almost surely, 2^{1298627251200} is an apocalyptic number.

1298627251200 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 1298627251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2550054573264).

1298627251200 is an abundant number, since it is smaller than the sum of its proper divisors (3801481895328).

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

1298627251200 is a wasteful number, since it uses less digits than its factorization.

1298627251200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 1298627251200 in words is "one trillion, two hundred ninety-eight billion, six hundred twenty-seven million, two hundred fifty-one thousand, two hundred".