122211211000 has 128 divisors (see below), whose sum is σ = 303401779200. Its totient is φ = 45946051200.

The previous prime is 122211210977. The next prime is 122211211009. The reversal of 122211211000 is 112112221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122211211009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2387677 + ... + 2438323.

It is an arithmetic number, because the mean of its divisors is an integer number (2370326400).

Almost surely, 2^122211211000 is an apocalyptic number.

122211211000 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 122211211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151700889600).

122211211000 is an abundant number, since it is smaller than the sum of its proper divisors (181190568200).

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

122211211000 is a wasteful number, since it uses less digits than its factorization.

122211211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50814 (or 50800 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 122211211000 its reverse (112112221), we get a palindrome (122323323221).

It can be divided in two parts, 12221 and 1211000, that added together give a palindrome (1223221).

The spelling of 122211211000 in words is "one hundred twenty-two billion, two hundred eleven million, two hundred eleven thousand".