223221133122300 has 252 divisors, whose sum is σ = 745881015891256. Its totient is φ = 57916833840000.

The previous prime is 223221133122257. The next prime is 223221133122343. The reversal of 223221133122300 is 3221331122322.

223221133122300 is a `hidden beast` number, since 2 + 2 + 3 + 2 + 2 + 1 + 1 + 331 + 22 + 300 = 666.

It is an interprime number because it is at equal distance from previous prime (223221133122257) and next prime (223221133122343).

It is a super-3 number, since 3×223221133122300³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 38681326 + ... + 44075925.

Almost surely, 2^{223221133122300} is an apocalyptic number.

223221133122300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223221133122300 is an abundant number, since it is smaller than the sum of its proper divisors (522659882768956).

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

223221133122300 is a wasteful number, since it uses less digits than its factorization.

223221133122300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82757320 (or 82757298 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 223221133122300 its reverse (3221331122322), we get a palindrome (226442464244622).

The spelling of 223221133122300 in words is "two hundred twenty-three trillion, two hundred twenty-one billion, one hundred thirty-three million, one hundred twenty-two thousand, three hundred".