122270800 has 60 divisors (see below), whose sum is σ = 311052636. Its totient is φ = 46028800.

The previous prime is 122270791. The next prime is 122270803. The reversal of 122270800 is 8072221.

It can be written as a sum of positive squares in 6 ways, for example, as 15272464 + 106998336 = 3908^2 + 10344^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122270803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2191 + ... + 15790.

Almost surely, 2^122270800 is an apocalyptic number.

122270800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122270800 is an abundant number, since it is smaller than the sum of its proper divisors (188781836).

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

122270800 is a wasteful number, since it uses less digits than its factorization.

122270800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18016 (or 18005 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 122270800 is about 11057.6127622557. The cubic root of 122270800 is about 496.3342570019.

The spelling of 122270800 in words is "one hundred twenty-two million, two hundred seventy thousand, eight hundred".