122223220222100 has 72 divisors (see below), whose sum is σ = 268759435795200. Its totient is φ = 48238485609600.

The previous prime is 122223220222063. The next prime is 122223220222109. The reversal of 122223220222100 is 1222022322221.

122223220222100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122223220222100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122223220222109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6817346 + ... + 17056454.

It is an arithmetic number, because the mean of its divisors is an integer number (3732769941600).

Almost surely, 2^{122223220222100} is an apocalyptic number.

122223220222100 is a gapful number since it is divisible by the number (10) 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 122223220222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134379717897600).

122223220222100 is an abundant number, since it is smaller than the sum of its proper divisors (146536215573100).

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

122223220222100 is a wasteful number, since it uses less digits than its factorization.

122223220222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10240713 (or 10240706 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 122223220222100 its reverse (1222022322221), we get a palindrome (123445242544321).

The spelling of 122223220222100 in words is "one hundred twenty-two trillion, two hundred twenty-three billion, two hundred twenty million, two hundred twenty-two thousand, one hundred".