1322132040000 has 420 divisors, whose sum is σ = 4898883621060. Its totient is φ = 340408320000.

The previous prime is 1322132039923. The next prime is 1322132040071. The reversal of 1322132040000 is 402312231.

1322132040000 is a `hidden beast` number, since 1 + 32 + 213 + 20 + 400 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 1158223659264 + 163908380736 = 1076208^2 + 404856^2 .

It is a super-3 number, since 3×1322132040000³ (a number of 37 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 10376680 + ... + 10503320.

Almost surely, 2^{1322132040000} is an apocalyptic number.

1322132040000 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 1322132040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2449441810530).

1322132040000 is an abundant number, since it is smaller than the sum of its proper divisors (3576751581060).

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

1322132040000 is a wasteful number, since it uses less digits than its factorization.

1322132040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126708 (or 126680 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 1322132040000 its reverse (402312231), we get a palindrome (1322534352231).

The spelling of 1322132040000 in words is "one trillion, three hundred twenty-two billion, one hundred thirty-two million, forty thousand".