122120200 has 48 divisors (see below), whose sum is σ = 284864580. Its totient is φ = 48687360.

The previous prime is 122120183. The next prime is 122120209. The reversal of 122120200 is 2021221.

It can be written as a sum of positive squares in 6 ways, for example, as 15163236 + 106956964 = 3894^2 + 10342^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (122120209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73782 + ... + 75418.

Almost surely, 2^122120200 is an apocalyptic number.

122120200 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 122120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142432290).

122120200 is an abundant number, since it is smaller than the sum of its proper divisors (162744380).

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

122120200 is a wasteful number, since it uses less digits than its factorization.

122120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2026 (or 2017 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 122120200 is about 11050.8008759546. The cubic root of 122120200 is about 496.1303962575.

Adding to 122120200 its reverse (2021221), we get a palindrome (124141421).

It can be divided in two parts, 12 and 2120200, that added together give a palindrome (2120212).

The spelling of 122120200 in words is "one hundred twenty-two million, one hundred twenty thousand, two hundred".