1272891110400 has 2640 divisors, whose sum is σ = 5972166715200. Its totient is φ = 264014069760.

The previous prime is 1272891110389. The next prime is 1272891110431. The reversal of 1272891110400 is 40111982721.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 21574425571 + ... + 21574425629.

Almost surely, 2^{1272891110400} is an apocalyptic number.

1272891110400 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 1272891110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2986083357600).

1272891110400 is an abundant number, since it is smaller than the sum of its proper divisors (4699275604800).

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

1272891110400 is an equidigital number, since it uses as much as digits as its factorization.

1272891110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 1272891110400 in words is "one trillion, two hundred seventy-two billion, eight hundred ninety-one million, one hundred ten thousand, four hundred".