1222146358272 has 704 divisors, whose sum is σ = 4292094576640. Its totient is φ = 336245686272.

The previous prime is 1222146358249. The next prime is 1222146358351. The reversal of 1222146358272 is 2728536412221.

1222146358272 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 1 + 4 + 63 + 582 + 7 + 2 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 737564868 + ... + 737566524.

Almost surely, 2^{1222146358272} is an apocalyptic number.

1222146358272 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 1222146358272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2146047288320).

1222146358272 is an abundant number, since it is smaller than the sum of its proper divisors (3069948218368).

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

1222146358272 is a wasteful number, since it uses less digits than its factorization.

1222146358272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1833 (or 1809 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The spelling of 1222146358272 in words is "one trillion, two hundred twenty-two billion, one hundred forty-six million, three hundred fifty-eight thousand, two hundred seventy-two".