1268900371200 has 432 divisors, whose sum is σ = 5220954337536. Its totient is φ = 263667302400.

The previous prime is 1268900371163. The next prime is 1268900371213. The reversal of 1268900371200 is 21730098621.

It is a super-2 number, since 2×1268900371200² (a number of 25 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 1049254 + ... + 1907546.

It is an arithmetic number, because the mean of its divisors is an integer number (12085542448).

Almost surely, 2^{1268900371200} is an apocalyptic number.

1268900371200 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 1268900371200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2610477168768).

1268900371200 is an abundant number, since it is smaller than the sum of its proper divisors (3952053966336).

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

1268900371200 is a wasteful number, since it uses less digits than its factorization.

1268900371200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858340 (or 858321 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The spelling of 1268900371200 in words is "one trillion, two hundred sixty-eight billion, nine hundred million, three hundred seventy-one thousand, two hundred".