122221111111000 has 256 divisors, whose sum is σ = 317491861040640. Its totient is φ = 43668040000000.

The previous prime is 122221111110991. The next prime is 122221111111007. The reversal of 122221111111000 is 111111122221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122221111111007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 145121115 + ... + 145960885.

It is an arithmetic number, because the mean of its divisors is an integer number (1240202582190).

Almost surely, 2^{122221111111000} is an apocalyptic number.

122221111111000 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 122221111111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158745930520320).

122221111111000 is an abundant number, since it is smaller than the sum of its proper divisors (195270749929640).

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

122221111111000 is a wasteful number, since it uses less digits than its factorization.

122221111111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840035 (or 840021 counting only the distinct ones).

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

Adding to 122221111111000 its reverse (111111122221), we get a palindrome (122332222233221).

It can be divided in two parts, 122 and 221111111000, that added together give a palindrome (221111111122).

The spelling of 122221111111000 in words is "one hundred twenty-two trillion, two hundred twenty-one billion, one hundred eleven million, one hundred eleven thousand".