122210112211000 has 256 divisors, whose sum is σ = 331639940736000. Its totient is φ = 41684241600000.

The previous prime is 122210112210947. The next prime is 122210112211027. The reversal of 122210112211000 is 112211012221.

It is a super-2 number, since 2×122210112211000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18214261 + ... + 24003739.

It is an arithmetic number, because the mean of its divisors is an integer number (1295468518500).

Almost surely, 2^{122210112211000} is an apocalyptic number.

122210112211000 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 122210112211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165819970368000).

122210112211000 is an abundant number, since it is smaller than the sum of its proper divisors (209429828525000).

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

122210112211000 is a wasteful number, since it uses less digits than its factorization.

122210112211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5789631 (or 5789617 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 122210112211000 its reverse (112211012221), we get a palindrome (122322323223221).

It can be divided in two parts, 12221011221 and 1000, that added together give a palindrome (12221012221).

The spelling of 122210112211000 in words is "one hundred twenty-two trillion, two hundred ten billion, one hundred twelve million, two hundred eleven thousand".