12031221311010 has 192 divisors, whose sum is σ = 34244452404864. Its totient is φ = 2906449689600.

The previous prime is 12031221310973. The next prime is 12031221311063. The reversal of 12031221311010 is 1011312213021.

12031221311010 is a `hidden beast` number, since 1 + 20 + 312 + 21 + 311 + 0 + 1 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1323416565 + ... + 1323425655.

It is an arithmetic number, because the mean of its divisors is an integer number (178356522942).

Almost surely, 2^{12031221311010} is an apocalyptic number.

12031221311010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12031221311010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17122226202432).

12031221311010 is an abundant number, since it is smaller than the sum of its proper divisors (22213231093854).

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

12031221311010 is a wasteful number, since it uses less digits than its factorization.

12031221311010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13649 (or 13646 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 12031221311010 its reverse (1011312213021), we get a palindrome (13042533524031).

The spelling of 12031221311010 in words is "twelve trillion, thirty-one billion, two hundred twenty-one million, three hundred eleven thousand, ten".