122112132300 has 108 divisors (see below), whose sum is σ = 393098496336. Its totient is φ = 31683139200.

The previous prime is 122112132299. The next prime is 122112132367. The reversal of 122112132300 is 3231211221.

122112132300 is a `hidden beast` number, since 1 + 221 + 1 + 213 + 230 + 0 = 666.

It is a super-2 number, since 2×122112132300² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1800216 + ... + 1866815.

It is an arithmetic number, because the mean of its divisors is an integer number (3639800892).

Almost surely, 2^122112132300 is an apocalyptic number.

122112132300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122112132300 is an abundant number, since it is smaller than the sum of its proper divisors (270986364036).

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

122112132300 is a wasteful number, since it uses less digits than its factorization.

122112132300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3667088 (or 3667078 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 122112132300 its reverse (3231211221), we get a palindrome (125343343521).

The spelling of 122112132300 in words is "one hundred twenty-two billion, one hundred twelve million, one hundred thirty-two thousand, three hundred".