12022100212320 has 576 divisors, whose sum is σ = 45993400217856. Its totient is φ = 2833902858240.

The previous prime is 12022100212307. The next prime is 12022100212351. The reversal of 12022100212320 is 2321200122021.

12022100212320 is a `hidden beast` number, since 1 + 202 + 210 + 0 + 21 + 232 + 0 = 666.

It is a super-3 number, since 3×12022100212320³ (a number of 40 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 12022100212293 and 12022100212302.

It is a congruent number.

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, 1094205867 + ... + 1094216853.

It is an arithmetic number, because the mean of its divisors is an integer number (79849653156).

Almost surely, 2^{12022100212320} is an apocalyptic number.

12022100212320 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 12022100212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22996700108928).

12022100212320 is an abundant number, since it is smaller than the sum of its proper divisors (33971300005536).

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

12022100212320 is a wasteful number, since it uses less digits than its factorization.

12022100212320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12923 (or 12912 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12022100212320 its reverse (2321200122021), we get a palindrome (14343300334341).

The spelling of 12022100212320 in words is "twelve trillion, twenty-two billion, one hundred million, two hundred twelve thousand, three hundred twenty".