122243200 has 48 divisors (see below), whose sum is σ = 301986810. Its totient is φ = 48896000.

The previous prime is 122243197. The next prime is 122243203. The reversal of 122243200 is 2342221.

It is an interprime number because it is at equal distance from previous prime (122243197) and next prime (122243203).

It can be written as a sum of positive squares in 3 ways, for example, as 84198976 + 38044224 = 9176^2 + 6168^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (122243203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15901 + ... + 22300.

Almost surely, 2^122243200 is an apocalyptic number.

122243200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122243200 is an abundant number, since it is smaller than the sum of its proper divisors (179743610).

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

122243200 is an equidigital number, since it uses as much as digits as its factorization.

122243200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38225 (or 38208 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 122243200 is about 11056.3646828422. The cubic root of 122243200 is about 496.2969086016.

Adding to 122243200 its reverse (2342221), we get a palindrome (124585421).

The spelling of 122243200 in words is "one hundred twenty-two million, two hundred forty-three thousand, two hundred".