122012200 has 96 divisors (see below), whose sum is σ = 294411960. Its totient is φ = 47001600.

The previous prime is 122012197. The next prime is 122012257. The reversal of 122012200 is 2210221.

It can be written as a sum of positive squares in 12 ways, for example, as 86436 + 121925764 = 294^2 + 11042^2 .

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 890532 + ... + 890668.

Almost surely, 2^122012200 is an apocalyptic number.

122012200 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 122012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147205980).

122012200 is an abundant number, since it is smaller than the sum of its proper divisors (172399760).

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

122012200 is a wasteful number, since it uses less digits than its factorization.

122012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 278 counting only the distinct ones).

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

The square root of 122012200 is about 11045.9132714321. The cubic root of 122012200 is about 495.9840980854.

Adding to 122012200 its reverse (2210221), we get a palindrome (124222421).

The spelling of 122012200 in words is "one hundred twenty-two million, twelve thousand, two hundred".