1322111413200 has 240 divisors, whose sum is σ = 4486846573440. Its totient is φ = 331634933760.

The previous prime is 1322111413187. The next prime is 1322111413241. The reversal of 1322111413200 is 23141112231.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1322111413200² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37661256 + ... + 37696344.

It is an arithmetic number, because the mean of its divisors is an integer number (18695194056).

Almost surely, 2^{1322111413200} is an apocalyptic number.

1322111413200 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 1322111413200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2243423286720).

1322111413200 is an abundant number, since it is smaller than the sum of its proper divisors (3164735160240).

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

1322111413200 is a wasteful number, since it uses less digits than its factorization.

1322111413200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36974 (or 36963 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 1322111413200 its reverse (23141112231), we get a palindrome (1345252525431).

The spelling of 1322111413200 in words is "one trillion, three hundred twenty-two billion, one hundred eleven million, four hundred thirteen thousand, two hundred".