1322202112020 has 144 divisors (see below), whose sum is σ = 4052638895760. Its totient is φ = 348902400000.

The previous prime is 1322202111943. The next prime is 1322202112031. The reversal of 1322202112020 is 202112022231.

1322202112020 is a `hidden beast` number, since 1 + 32 + 220 + 211 + 202 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 158211426564 + 1163990685456 = 397758^2 + 1078884^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1322202111984 and 1322202112002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34322770 + ... + 34361270.

It is an arithmetic number, because the mean of its divisors is an integer number (28143325665).

Almost surely, 2^{1322202112020} is an apocalyptic number.

1322202112020 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 1322202112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2026319447880).

1322202112020 is an abundant number, since it is smaller than the sum of its proper divisors (2730436783740).

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

1322202112020 is a wasteful number, since it uses less digits than its factorization.

1322202112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40506 (or 40501 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1322202112020 its reverse (202112022231), we get a palindrome (1524314134251).

It can be divided in two parts, 132220211 and 2020, that added together give a palindrome (132222231).

The spelling of 1322202112020 in words is "one trillion, three hundred twenty-two billion, two hundred two million, one hundred twelve thousand, twenty".