122001000 has 128 divisors (see below), whose sum is σ = 415359360. Its totient is φ = 29568000.

The previous prime is 122000981. The next prime is 122001001. The reversal of 122001000 is 100221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 122001000.

It is not an unprimeable number, because it can be changed into a prime (122001001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 31152 + ... + 34848.

It is an arithmetic number, because the mean of its divisors is an integer number (3244995).

Almost surely, 2^122001000 is an apocalyptic number.

122001000 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 122001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207679680).

122001000 is an abundant number, since it is smaller than the sum of its proper divisors (293358360).

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

122001000 is a wasteful number, since it uses less digits than its factorization.

122001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3732 (or 3718 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 122001000 is about 11045.4062849675. The cubic root of 122001000 is about 495.9689214832.

Adding to 122001000 its reverse (100221), we get a palindrome (122101221).

The spelling of 122001000 in words is "one hundred twenty-two million, one thousand".