122003033000 has 128 divisors (see below), whose sum is σ = 302580139680. Its totient is φ = 45885030400.

The previous prime is 122003032913. The next prime is 122003033021. The reversal of 122003033000 is 330300221.

It can be written as a sum of positive squares in 16 ways, for example, as 1217591236 + 120785441764 = 34894^2 + 347542^2 .

It is a super-2 number, since 2×122003033000² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20686052 + ... + 20691948.

Almost surely, 2^122003033000 is an apocalyptic number.

122003033000 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 122003033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151290069840).

122003033000 is an abundant number, since it is smaller than the sum of its proper divisors (180577106680).

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

122003033000 is a wasteful number, since it uses less digits than its factorization.

122003033000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7152 (or 7138 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

Adding to 122003033000 its reverse (330300221), we get a palindrome (122333333221).

The spelling of 122003033000 in words is "one hundred twenty-two billion, three million, thirty-three thousand".