22322100122322 has 256 divisors, whose sum is σ = 61615203987456. Its totient is φ = 5202797184000.

The previous prime is 22322100122243. The next prime is 22322100122389.

22322100122322 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×22322100122322³ (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22322100122292 and 22322100122301.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 260179072 + ... + 260264852.

It is an arithmetic number, because the mean of its divisors is an integer number (240684390576).

Almost surely, 2^{22322100122322} is an apocalyptic number.

22322100122322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22322100122322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30807601993728).

22322100122322 is an abundant number, since it is smaller than the sum of its proper divisors (39293103865134).

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

22322100122322 is a wasteful number, since it uses less digits than its factorization.

22322100122322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87025.

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 22322100 and 122322, that added together give a palindrome (22444422).

The spelling of 22322100122322 in words is "twenty-two trillion, three hundred twenty-two billion, one hundred million, one hundred twenty-two thousand, three hundred twenty-two".