1122769251072 has 288 divisors, whose sum is σ = 3851190336000. Its totient is φ = 316002373632.

The previous prime is 1122769251061. The next prime is 1122769251127. The reversal of 1122769251072 is 2701529672211.

1122769251072 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 7 + 69 + 2 + 510 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1122769251072² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3068554 + ... + 3414902.

Almost surely, 2^{1122769251072} is an apocalyptic number.

1122769251072 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 1122769251072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1925595168000).

1122769251072 is an abundant number, since it is smaller than the sum of its proper divisors (2728421084928).

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

1122769251072 is an equidigital number, since it uses as much as digits as its factorization.

1122769251072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346448 (or 346428 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 1122769251072 in words is "one trillion, one hundred twenty-two billion, seven hundred sixty-nine million, two hundred fifty-one thousand, seventy-two".