1272302707104 has 1152 divisors, whose sum is σ = 4660075929600. Its totient is φ = 323282534400.

The previous prime is 1272302707073. The next prime is 1272302707133. The reversal of 1272302707104 is 4017072032721.

1272302707104 is a `hidden beast` number, since 1 + 272 + 302 + 70 + 7 + 10 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3645566322 + ... + 3645566670.

It is an arithmetic number, because the mean of its divisors is an integer number (4045204800).

Almost surely, 2^{1272302707104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1272302707104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2330037964800).

1272302707104 is an abundant number, since it is smaller than the sum of its proper divisors (3387773222496).

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

1272302707104 is a wasteful number, since it uses less digits than its factorization.

1272302707104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

Adding to 1272302707104 its reverse (4017072032721), we get a palindrome (5289374739825).

The spelling of 1272302707104 in words is "one trillion, two hundred seventy-two billion, three hundred two million, seven hundred seven thousand, one hundred four".