122022000 has 120 divisors (see below), whose sum is σ = 426245040. Its totient is φ = 32534400.

The previous prime is 122021993. The next prime is 122022001. The reversal of 122022000 is 220221.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122022001) 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 23 ways as a sum of consecutive naturals, for example, 14611 + ... + 21389.

It is an arithmetic number, because the mean of its divisors is an integer number (3552042).

Almost surely, 2^122022000 is an apocalyptic number.

122022000 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 122022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213122520).

122022000 is an abundant number, since it is smaller than the sum of its proper divisors (304223040).

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

122022000 is a wasteful number, since it uses less digits than its factorization.

122022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6808 (or 6789 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 122022000 is about 11046.3568655010. The cubic root of 122022000 is about 495.9973768505.

Adding to 122022000 its reverse (220221), we get a palindrome (122242221).

It can be divided in two parts, 1220 and 22000, that added together give a triangular number (23220 = T₂₁₅).

The spelling of 122022000 in words is "one hundred twenty-two million, twenty-two thousand".