221223103200000 has 1296 divisors, whose sum is σ = 871433166895200. Its totient is φ = 53524684800000.

The previous prime is 221223103199851. The next prime is 221223103200031. The reversal of 221223103200000 is 2301322122.

221223103200000 is a `hidden beast` number, since 22 + 12 + 2 + 310 + 320 + 0 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×221223103200000² (a number of 29 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 45064797546 + ... + 45064802454.

It is an arithmetic number, because the mean of its divisors is an integer number (672402134950).

Almost surely, 2^{221223103200000} is an apocalyptic number.

221223103200000 is a gapful number since it is divisible by the number (20) 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 221223103200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435716583447600).

221223103200000 is an abundant number, since it is smaller than the sum of its proper divisors (650210063695200).

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

221223103200000 is an equidigital number, since it uses as much as digits as its factorization.

221223103200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5536 (or 5499 counting only the distinct ones).

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

Adding to 221223103200000 its reverse (2301322122), we get a palindrome (221225404522122).

The spelling of 221223103200000 in words is "two hundred twenty-one trillion, two hundred twenty-three billion, one hundred three million, two hundred thousand".