122100323322120 has 256 divisors, whose sum is σ = 440347501440000. Its totient is φ = 26687727037440.

The previous prime is 122100323322101. The next prime is 122100323322121. The reversal of 122100323322120 is 21223323001221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (122100323322121) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 81999370 + ... + 83475129.

It is an arithmetic number, because the mean of its divisors is an integer number (1720107427500).

Almost surely, 2^{122100323322120} is an apocalyptic number.

122100323322120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122100323322120 is an abundant number, since it is smaller than the sum of its proper divisors (318247178117880).

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

122100323322120 is a wasteful number, since it uses less digits than its factorization.

122100323322120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165474580 (or 165474576 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 122100323322120 its reverse (21223323001221), we get a palindrome (143323646323341).

The spelling of 122100323322120 in words is "one hundred twenty-two trillion, one hundred billion, three hundred twenty-three million, three hundred twenty-two thousand, one hundred twenty".