13312212322200 has 768 divisors, whose sum is σ = 48964837478400. Its totient is φ = 2957310720000.

The previous prime is 13312212322187. The next prime is 13312212322243. The reversal of 13312212322200 is 222321221331.

It is a super-2 number, since 2×13312212322200² (a number of 27 digits) contains 22 as substring.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 471866095 + ... + 471894305.

It is an arithmetic number, because the mean of its divisors is an integer number (63756298800).

Almost surely, 2^{13312212322200} is an apocalyptic number.

13312212322200 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 13312212322200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24482418739200).

13312212322200 is an abundant number, since it is smaller than the sum of its proper divisors (35652625156200).

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

13312212322200 is a wasteful number, since it uses less digits than its factorization.

13312212322200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28384 (or 28375 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13312212322200 its reverse (222321221331), we get a palindrome (13534533543531).

The spelling of 13312212322200 in words is "thirteen trillion, three hundred twelve billion, two hundred twelve million, three hundred twenty-two thousand, two hundred".