122333101000 has 128 divisors (see below), whose sum is σ = 312630140160. Its totient is φ = 44435328000.

The previous prime is 122333100961. The next prime is 122333101003. The reversal of 122333101000 is 101333221.

It is not an unprimeable number, because it can be changed into a prime (122333101003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10741309 + ... + 10752691.

It is an arithmetic number, because the mean of its divisors is an integer number (2442422970).

Almost surely, 2^122333101000 is an apocalyptic number.

122333101000 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 122333101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156315070080).

122333101000 is an abundant number, since it is smaller than the sum of its proper divisors (190297039160).

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

122333101000 is a wasteful number, since it uses less digits than its factorization.

122333101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12392 (or 12378 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 122333101000 its reverse (101333221), we get a palindrome (122434434221).

The spelling of 122333101000 in words is "one hundred twenty-two billion, three hundred thirty-three million, one hundred one thousand".