12290884262496 has 288 divisors, whose sum is σ = 41707152396000. Its totient is φ = 3511181205504.

The previous prime is 12290884262477. The next prime is 12290884262507. The reversal of 12290884262496 is 69426248809221.

12290884262496 is a `hidden beast` number, since 1 + 2 + 2 + 9 + 0 + 8 + 84 + 2 + 62 + 496 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 379695400 + ... + 379727768.

It is an arithmetic number, because the mean of its divisors is an integer number (144816501375).

Almost surely, 2^{12290884262496} is an apocalyptic number.

12290884262496 is a gapful number since it is divisible by the number (16) 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 12290884262496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20853576198000).

12290884262496 is an abundant number, since it is smaller than the sum of its proper divisors (29416268133504).

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

12290884262496 is a wasteful number, since it uses less digits than its factorization.

12290884262496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41371 (or 41350 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 12290884262496 in words is "twelve trillion, two hundred ninety billion, eight hundred eighty-four million, two hundred sixty-two thousand, four hundred ninety-six".