122211400 has 24 divisors (see below), whose sum is σ = 284141970. Its totient is φ = 48884480.

The previous prime is 122211391. The next prime is 122211403. The reversal of 122211400 is 4112221.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 47527236 + 74684164 = 6894^2 + 8642^2 .

It is not an unprimeable number, because it can be changed into a prime (122211403) 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 5 ways as a sum of consecutive naturals, for example, 305329 + ... + 305728.

Almost surely, 2^122211400 is an apocalyptic number.

122211400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122211400 is an abundant number, since it is smaller than the sum of its proper divisors (161930570).

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

122211400 is a wasteful number, since it uses less digits than its factorization.

122211400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611073 (or 611064 counting only the distinct ones).

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

The square root of 122211400 is about 11054.9265036001. The cubic root of 122211400 is about 496.2538697784.

Adding to 122211400 its reverse (4112221), we get a palindrome (126323621).

The spelling of 122211400 in words is "one hundred twenty-two million, two hundred eleven thousand, four hundred".