1272217060800 has 672 divisors, whose sum is σ = 5314912204800. Its totient is φ = 289987153920.

The previous prime is 1272217060799. The next prime is 1272217060871. The reversal of 1272217060800 is 80607122721.

1272217060800 is a `hidden beast` number, since 1 + 27 + 2 + 21 + 7 + 0 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 112789561 + ... + 112800839.

Almost surely, 2^{1272217060800} is an apocalyptic number.

1272217060800 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 1272217060800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2657456102400).

1272217060800 is an abundant number, since it is smaller than the sum of its proper divisors (4042695144000).

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

1272217060800 is a wasteful number, since it uses less digits than its factorization.

1272217060800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11690 (or 11669 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 1272217060800 in words is "one trillion, two hundred seventy-two billion, two hundred seventeen million, sixty thousand, eight hundred".