13212022000320 has 560 divisors, whose sum is σ = 55213845892128. Its totient is φ = 2956535562240.

The previous prime is 13212022000171. The next prime is 13212022000351. The reversal of 13212022000320 is 2300022021231.

13212022000320 is a `hidden beast` number, since 1 + 3 + 2 + 120 + 220 + 0 + 0 + 320 = 666.

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 = 13212022000293 and 13212022000302.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1924312 + ... + 5488808.

Almost surely, 2^{13212022000320} is an apocalyptic number.

13212022000320 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 13212022000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27606922946064).

13212022000320 is an abundant number, since it is smaller than the sum of its proper divisors (42001823891808).

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

13212022000320 is a wasteful number, since it uses less digits than its factorization.

13212022000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3564550 (or 3564531 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 13212022000320 its reverse (2300022021231), we get a palindrome (15512044021551).

The spelling of 13212022000320 in words is "thirteen trillion, two hundred twelve billion, twenty-two million, three hundred twenty", and thus it is an aban number.