122201300 has 144 divisors (see below), whose sum is σ = 307396992. Its totient is φ = 41817600.

The previous prime is 122201257. The next prime is 122201309. The reversal of 122201300 is 3102221.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122201309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1823867 + ... + 1823933.

Almost surely, 2^122201300 is an apocalyptic number.

122201300 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 122201300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153698496).

122201300 is an abundant number, since it is smaller than the sum of its proper divisors (185195692).

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

122201300 is a wasteful number, since it uses less digits than its factorization.

122201300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 122201300 is about 11054.4696842499. The cubic root of 122201300 is about 496.2401986529.

Adding to 122201300 its reverse (3102221), we get a palindrome (125303521).

The spelling of 122201300 in words is "one hundred twenty-two million, two hundred one thousand, three hundred".