1272799368126 has 224 divisors, whose sum is σ = 3509151593472. Its totient is φ = 340547042880.

The previous prime is 1272799368097. The next prime is 1272799368131. The reversal of 1272799368126 is 6218639972721.

1272799368126 is a `hidden beast` number, since 12 + 72 + 79 + 9 + 368 + 126 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4662651 + ... + 4928073.

It is an arithmetic number, because the mean of its divisors is an integer number (15665855328).

Almost surely, 2^{1272799368126} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1272799368126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1754575796736).

1272799368126 is an abundant number, since it is smaller than the sum of its proper divisors (2236352225346).

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

1272799368126 is a wasteful number, since it uses less digits than its factorization.

1272799368126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265490 (or 265475 counting only the distinct ones).

The product of its digits is 27433728, while the sum is 63.

The spelling of 1272799368126 in words is "one trillion, two hundred seventy-two billion, seven hundred ninety-nine million, three hundred sixty-eight thousand, one hundred twenty-six".