1272069719316 has 672 divisors, whose sum is σ = 3959139098880. Its totient is φ = 353167257600.

The previous prime is 1272069719287. The next prime is 1272069719329. The reversal of 1272069719316 is 6139179602721.

1272069719316 is a `hidden beast` number, since 1 + 27 + 206 + 97 + 19 + 316 = 666.

It is a super-2 number, since 2×1272069719316² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 5554889490 + ... + 5554889718.

It is an arithmetic number, because the mean of its divisors is an integer number (5891576040).

Almost surely, 2^{1272069719316} 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 1272069719316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1979569549440).

1272069719316 is an abundant number, since it is smaller than the sum of its proper divisors (2687069379564).

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

1272069719316 is a wasteful number, since it uses less digits than its factorization.

1272069719316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The spelling of 1272069719316 in words is "one trillion, two hundred seventy-two billion, sixty-nine million, seven hundred nineteen thousand, three hundred sixteen".