1322013031200 has 144 divisors (see below), whose sum is σ = 4781280540960. Its totient is φ = 352536802560.

The previous prime is 1322013031177. The next prime is 1322013031253. The reversal of 1322013031200 is 21303102231.

1322013031200 is a `hidden beast` number, since 1 + 3 + 220 + 130 + 312 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1322013031200² (a number of 25 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 30580554 + ... + 30623753.

It is an arithmetic number, because the mean of its divisors is an integer number (33203337090).

Almost surely, 2^{1322013031200} is an apocalyptic number.

1322013031200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1322013031200 is an abundant number, since it is smaller than the sum of its proper divisors (3459267509760).

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

1322013031200 is a wasteful number, since it uses less digits than its factorization.

1322013031200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61204336 (or 61204317 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1322013031200 its reverse (21303102231), we get a palindrome (1343316133431).

The spelling of 1322013031200 in words is "one trillion, three hundred twenty-two billion, thirteen million, thirty-one thousand, two hundred".