122101200 has 180 divisors, whose sum is σ = 456494220. Its totient is φ = 30044160.

The previous prime is 122101183. The next prime is 122101211. The reversal of 122101200 is 2101221.

It can be written as a sum of positive squares in 6 ways, for example, as 14107536 + 107993664 = 3756^2 + 10392^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 45496 + ... + 48104.

It is an arithmetic number, because the mean of its divisors is an integer number (2536079).

Almost surely, 2^122101200 is an apocalyptic number.

122101200 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 122101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228247110).

122101200 is an abundant number, since it is smaller than the sum of its proper divisors (334393020).

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

122101200 is a wasteful number, since it uses less digits than its factorization.

122101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2646 (or 2632 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 122101200 is about 11049.9411763140. The cubic root of 122101200 is about 496.1046648703.

Adding to 122101200 its reverse (2101221), we get a palindrome (124202421).

The spelling of 122101200 in words is "one hundred twenty-two million, one hundred one thousand, two hundred".