122083300 has 18 divisors (see below), whose sum is σ = 264920978. Its totient is φ = 48833280.

The previous prime is 122083271. The next prime is 122083309. The reversal of 122083300 is 3380221.

122083300 = 117² + 118² + ... + 716².

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 30536676 + 91546624 = 5526^2 + 9568^2 .

It is not an unprimeable number, because it can be changed into a prime (122083309) 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, 610317 + ... + 610516.

Almost surely, 2^122083300 is an apocalyptic number.

122083300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122083300 is an abundant number, since it is smaller than the sum of its proper divisors (142837678).

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

122083300 is a wasteful number, since it uses less digits than its factorization.

122083300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220847 (or 1220840 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 122083300 is about 11049.1311875640. The cubic root of 122083300 is about 496.0804207529.

The spelling of 122083300 in words is "one hundred twenty-two million, eighty-three thousand, three hundred".