1272915025920 has 1344 divisors, whose sum is σ = 4946292449280. Its totient is φ = 313026674688.

The previous prime is 1272915025913. The next prime is 1272915025931. The reversal of 1272915025920 is 295205192721.

1272915025920 is a `hidden beast` number, since 1 + 2 + 7 + 2 + 9 + 1 + 50 + 2 + 592 + 0 = 666.

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

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, 10022952897 + ... + 10022953023.

It is an arithmetic number, because the mean of its divisors is an integer number (3680277120).

Almost surely, 2^{1272915025920} is an apocalyptic number.

1272915025920 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 1272915025920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2473146224640).

1272915025920 is an abundant number, since it is smaller than the sum of its proper divisors (3673377423360).

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

1272915025920 is an equidigital number, since it uses as much as digits as its factorization.

1272915025920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 1272915025920 in words is "one trillion, two hundred seventy-two billion, nine hundred fifteen million, twenty-five thousand, nine hundred twenty".