122112020200 has 96 divisors (see below), whose sum is σ = 288300744000. Its totient is φ = 48091829760.

The previous prime is 122112020123. The next prime is 122112020201. The reversal of 122112020200 is 2020211221.

It is a happy number.

122112020200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×122112020200³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (122112020201) 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, 8738419 + ... + 8752381.

It is an arithmetic number, because the mean of its divisors is an integer number (3003132750).

Almost surely, 2^122112020200 is an apocalyptic number.

122112020200 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 122112020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144150372000).

122112020200 is an abundant number, since it is smaller than the sum of its proper divisors (166188723800).

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

122112020200 is a wasteful number, since it uses less digits than its factorization.

122112020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14651 (or 14642 counting only the distinct ones).

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

Adding to 122112020200 its reverse (2020211221), we get a palindrome (124132231421).

The spelling of 122112020200 in words is "one hundred twenty-two billion, one hundred twelve million, twenty thousand, two hundred".