1281139324272 has 480 divisors, whose sum is σ = 3927048652800. Its totient is φ = 388542873600.

The previous prime is 1281139324259. The next prime is 1281139324277. The reversal of 1281139324272 is 2724239311821.

1281139324272 is a `hidden beast` number, since 1 + 2 + 8 + 11 + 393 + 242 + 7 + 2 = 666.

It is a super-2 number, since 2×1281139324272² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1281139324277) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2674612129 + ... + 2674612607.

It is an arithmetic number, because the mean of its divisors is an integer number (8181351360).

Almost surely, 2^{1281139324272} is an apocalyptic number.

1281139324272 is a gapful number since it is divisible by the number (12) 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 1281139324272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1963524326400).

1281139324272 is an abundant number, since it is smaller than the sum of its proper divisors (2645909328528).

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

1281139324272 is a wasteful number, since it uses less digits than its factorization.

1281139324272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 868 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The spelling of 1281139324272 in words is "one trillion, two hundred eighty-one billion, one hundred thirty-nine million, three hundred twenty-four thousand, two hundred seventy-two".