223021121120322 has 256 divisors, whose sum is σ = 548674183766016. Its totient is φ = 58990164480000.

The previous prime is 223021121120269. The next prime is 223021121120327.

223021121120322 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 223021121120292 and 223021121120301.

It is not an unprimeable number, because it can be changed into a prime (223021121120327) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6510978148 + ... + 6511012400.

It is an arithmetic number, because the mean of its divisors is an integer number (2143258530336).

Almost surely, 2^{223021121120322} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223021121120322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274337091883008).

223021121120322 is an abundant number, since it is smaller than the sum of its proper divisors (325653062645694).

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

223021121120322 is a wasteful number, since it uses less digits than its factorization.

223021121120322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35025.

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 223021121120322 in words is "two hundred twenty-three trillion, twenty-one billion, one hundred twenty-one million, one hundred twenty thousand, three hundred twenty-two".