122000312100 has 144 divisors (see below), whose sum is σ = 359563861440. Its totient is φ = 31929139200.

The previous prime is 122000312053. The next prime is 122000312111. The reversal of 122000312100 is 1213000221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11340324 + ... + 11351076.

It is an arithmetic number, because the mean of its divisors is an integer number (2496971260).

Almost surely, 2^122000312100 is an apocalyptic number.

122000312100 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 122000312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179781930720).

122000312100 is an abundant number, since it is smaller than the sum of its proper divisors (237563549340).

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

122000312100 is a wasteful number, since it uses less digits than its factorization.

122000312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11470 (or 11463 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 122000312100 its reverse (1213000221), we get a palindrome (123213312321).

The spelling of 122000312100 in words is "one hundred twenty-two billion, three hundred twelve thousand, one hundred".