122112000330 has 64 divisors (see below), whose sum is σ = 294176105856. Its totient is φ = 32440320000.

The previous prime is 122112000287. The next prime is 122112000337. The reversal of 122112000330 is 33000211221.

It is a super-2 number, since 2×122112000330² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (122112000337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15894090 + ... + 15901770.

It is an arithmetic number, because the mean of its divisors is an integer number (4596501654).

Almost surely, 2^122112000330 is an apocalyptic number.

122112000330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122112000330 is an abundant number, since it is smaller than the sum of its proper divisors (172064105526).

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

122112000330 is a wasteful number, since it uses less digits than its factorization.

122112000330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9623.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 122112000330 its reverse (33000211221), we get a palindrome (155112211551).

The spelling of 122112000330 in words is "one hundred twenty-two billion, one hundred twelve million, three hundred thirty", and thus it is an aban number.