12123311322120 has 128 divisors (see below), whose sum is σ = 37359887385600. Its totient is φ = 3144919827456.

The previous prime is 12123311322079. The next prime is 12123311322137. The reversal of 12123311322120 is 2122311332121.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 23754586 + ... + 24259574.

It is an arithmetic number, because the mean of its divisors is an integer number (291874120200).

Almost surely, 2^{12123311322120} is an apocalyptic number.

12123311322120 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 12123311322120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18679943692800).

12123311322120 is an abundant number, since it is smaller than the sum of its proper divisors (25236576063480).

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

12123311322120 is a wasteful number, since it uses less digits than its factorization.

12123311322120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510447 (or 510443 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 12123311322120 its reverse (2122311332121), we get a palindrome (14245622654241).

The spelling of 12123311322120 in words is "twelve trillion, one hundred twenty-three billion, three hundred eleven million, three hundred twenty-two thousand, one hundred twenty".