12013213332120 has 512 divisors, whose sum is σ = 48932626176000. Its totient is φ = 2278340444160.

The previous prime is 12013213332091. The next prime is 12013213332137. The reversal of 12013213332120 is 2123331231021.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10128826 + ... + 11252534.

It is an arithmetic number, because the mean of its divisors is an integer number (95571535500).

Almost surely, 2^{12013213332120} is an apocalyptic number.

12013213332120 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 12013213332120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24466313088000).

12013213332120 is an abundant number, since it is smaller than the sum of its proper divisors (36919412843880).

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

12013213332120 is a wasteful number, since it uses less digits than its factorization.

12013213332120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123843 (or 1123839 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 12013213332120 its reverse (2123331231021), we get a palindrome (14136544563141).

The spelling of 12013213332120 in words is "twelve trillion, thirteen billion, two hundred thirteen million, three hundred thirty-two thousand, one hundred twenty".