12290826496 has 135 divisors (see below), whose sum is σ = 27242096273. Its totient is φ = 5534330880.

The previous prime is 12290826479. The next prime is 12290826517. The reversal of 12290826496 is 69462809221.

The square root of 12290826496 is 110864.

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

It can be written as a sum of positive squares in 7 ways, for example, as 8823972096 + 3466854400 = 93936^2 + 58880^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 299776236 + ... + 299776276.

Almost surely, 2^12290826496 is an apocalyptic number.

12290826496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12290826496 is the 110864-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12290826496

12290826496 is an abundant number, since it is smaller than the sum of its proper divisors (14951269777).

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

12290826496 is an frugal number, since it uses more digits than its factorization.

12290826496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 49.

Multiplying 12290826496 by its sum of digits (49), we get a square (602250498304 = 776048²).

The spelling of 12290826496 in words is "twelve billion, two hundred ninety million, eight hundred twenty-six thousand, four hundred ninety-six".