1322113111200 has 864 divisors, whose sum is σ = 5521315363200. Its totient is φ = 291435356160.

The previous prime is 1322113111139. The next prime is 1322113111213. The reversal of 1322113111200 is 21113112231.

1322113111200 is a `hidden beast` number, since 1 + 322 + 1 + 131 + 11 + 200 = 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 143 ways as a sum of consecutive naturals, for example, 157596606 + ... + 157604994.

It is an arithmetic number, because the mean of its divisors is an integer number (6390411300).

Almost surely, 2^{1322113111200} is an apocalyptic number.

1322113111200 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 1322113111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2760657681600).

1322113111200 is an abundant number, since it is smaller than the sum of its proper divisors (4199202252000).

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

1322113111200 is a wasteful number, since it uses less digits than its factorization.

1322113111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8534 (or 8518 counting only the distinct ones).

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

Adding to 1322113111200 its reverse (21113112231), we get a palindrome (1343226223431).

The spelling of 1322113111200 in words is "one trillion, three hundred twenty-two billion, one hundred thirteen million, one hundred eleven thousand, two hundred".