123012321000 has 128 divisors (see below), whose sum is σ = 384105196800. Its totient is φ = 32777068800.

The previous prime is 123012320957. The next prime is 123012321001. The reversal of 123012321000 is 123210321.

It is a super-2 number, since 2×123012321000² (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 (123012321001) 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, 3893266 + ... + 3924734.

It is an arithmetic number, because the mean of its divisors is an integer number (3000821850).

Almost surely, 2^123012321000 is an apocalyptic number.

123012321000 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 123012321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192052598400).

123012321000 is an abundant number, since it is smaller than the sum of its proper divisors (261092875800).

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

123012321000 is a wasteful number, since it uses less digits than its factorization.

123012321000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32796 (or 32782 counting only the distinct ones).

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

Adding to 123012321000 its reverse (123210321), we get a palindrome (123135531321).

The spelling of 123012321000 in words is "one hundred twenty-three billion, twelve million, three hundred twenty-one thousand".