122333022000 has 960 divisors, whose sum is σ = 508625255424. Its totient is φ = 26824089600.

The previous prime is 122333021981. The next prime is 122333022017. The reversal of 122333022000 is 220333221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 363005832 + ... + 363006168.

Almost surely, 2^122333022000 is an apocalyptic number.

122333022000 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 122333022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254312627712).

122333022000 is an abundant number, since it is smaller than the sum of its proper divisors (386292233424).

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

122333022000 is a wasteful number, since it uses less digits than its factorization.

122333022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 122333022000 its reverse (220333221), we get a palindrome (122553355221).

The spelling of 122333022000 in words is "one hundred twenty-two billion, three hundred thirty-three million, twenty-two thousand".