122313100 has 72 divisors (see below), whose sum is σ = 326694368. Its totient is φ = 38707200.

The previous prime is 122313071. The next prime is 122313131. The reversal of 122313100 is 1313221.

It is a super-2 number, since 2×122313100² = 29920988863220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2380 + ... + 15820.

Almost surely, 2^122313100 is an apocalyptic number.

122313100 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 122313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163347184).

122313100 is an abundant number, since it is smaller than the sum of its proper divisors (204381268).

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

122313100 is a wasteful number, since it uses less digits than its factorization.

122313100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13475 (or 13468 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 122313100 is about 11059.5253062688. The cubic root of 122313100 is about 496.3914865788.

Adding to 122313100 its reverse (1313221), we get a palindrome (123626321).

The spelling of 122313100 in words is "one hundred twenty-two million, three hundred thirteen thousand, one hundred".