122022011200 has 168 divisors, whose sum is σ = 305996962808. Its totient is φ = 47881912320.

The previous prime is 122022011197. The next prime is 122022011203. The reversal of 122022011200 is 2110220221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (122022011197) and next prime (122022011203).

It can be written as a sum of positive squares in 12 ways, for example, as 61095974976 + 60926036224 = 247176^2 + 246832^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122022011203) 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, 22539694 + ... + 22545106.

Almost surely, 2^122022011200 is an apocalyptic number.

122022011200 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 122022011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152998481404).

122022011200 is an abundant number, since it is smaller than the sum of its proper divisors (183974951608).

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

122022011200 is a wasteful number, since it uses less digits than its factorization.

122022011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5701 (or 5686 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 122022011200 its reverse (2110220221), we get a palindrome (124132231421).

The spelling of 122022011200 in words is "one hundred twenty-two billion, twenty-two million, eleven thousand, two hundred".