322223101200000 has 2304 divisors, whose sum is σ = 1556108920154880. Its totient is φ = 61804339200000.

The previous prime is 322223101199983. The next prime is 322223101200019. The reversal of 322223101200000 is 2101322223.

322223101200000 is a `hidden beast` number, since 322 + 22 + 310 + 12 + 0 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3603555292 + ... + 3603644708.

It is an arithmetic number, because the mean of its divisors is an integer number (675394496595).

Almost surely, 2^{322223101200000} is an apocalyptic number.

322223101200000 is a gapful number since it is divisible by the number (30) 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 322223101200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778054460077440).

322223101200000 is an abundant number, since it is smaller than the sum of its proper divisors (1233885818954880).

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

322223101200000 is a wasteful number, since it uses less digits than its factorization.

322223101200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89493 (or 89458 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 322223101200000 its reverse (2101322223), we get a palindrome (322225202522223).

The spelling of 322223101200000 in words is "three hundred twenty-two trillion, two hundred twenty-three billion, one hundred one million, two hundred thousand".