1069122912256 has 153 divisors (see below), whose sum is σ = 2491646471829. Its totient is φ = 457401434112.

The previous prime is 1069122912233. The next prime is 1069122912257. The reversal of 1069122912256 is 6522192219601.

The square root of 1069122912256 is 1033984.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1061724160000 + 7398752256 = 1030400^2 + 86016^2 .

It is a super-2 number, since 2×1069122912256² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1069122912257) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1852899040 + ... + 1852899616.

Almost surely, 2^{1069122912256} is an apocalyptic number.

1069122912256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1069122912256 is the 1033984-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1069122912256

1069122912256 is an abundant number, since it is smaller than the sum of its proper divisors (1422523559573).

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

1069122912256 is an frugal number, since it uses more digits than its factorization.

1069122912256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 46.

The spelling of 1069122912256 in words is "one trillion, sixty-nine billion, one hundred twenty-two million, nine hundred twelve thousand, two hundred fifty-six".