122200211120 has 160 divisors (see below), whose sum is σ = 310924474560. Its totient is φ = 44394577920.

The previous prime is 122200211117. The next prime is 122200211141. The reversal of 122200211120 is 21112002221.

It is a junction number, because it is equal to n+sod(n) for n = 122200211095 and 122200211104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19527032 + ... + 19533288.

It is an arithmetic number, because the mean of its divisors is an integer number (1943277966).

Almost surely, 2^122200211120 is an apocalyptic number.

122200211120 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 122200211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155462237280).

122200211120 is an abundant number, since it is smaller than the sum of its proper divisors (188724263440).

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

122200211120 is a wasteful number, since it uses less digits than its factorization.

122200211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6583 (or 6577 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 122200211120 its reverse (21112002221), we get a palindrome (143312213341).

The spelling of 122200211120 in words is "one hundred twenty-two billion, two hundred million, two hundred eleven thousand, one hundred twenty".