1322200103120 has 80 divisors (see below), whose sum is σ = 3310848665040. Its totient is φ = 488158175232.

The previous prime is 1322200103093. The next prime is 1322200103137. The reversal of 1322200103120 is 213010022231.

It can be written as a sum of positive squares in 8 ways, for example, as 90091223104 + 1232108880016 = 300152^2 + 1110004^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1322200103120² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15283346 + ... + 15369614.

It is an arithmetic number, because the mean of its divisors is an integer number (41385608313).

Almost surely, 2^{1322200103120} is an apocalyptic number.

1322200103120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1322200103120 is an abundant number, since it is smaller than the sum of its proper divisors (1988648561920).

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

1322200103120 is a wasteful number, since it uses less digits than its factorization.

1322200103120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101032 (or 101026 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 1322200103120 its reverse (213010022231), we get a palindrome (1535210125351).

The spelling of 1322200103120 in words is "one trillion, three hundred twenty-two billion, two hundred million, one hundred three thousand, one hundred twenty".