1322132221410 has 512 divisors, whose sum is σ = 4569361735680. Its totient is φ = 235710259200.

The previous prime is 1322132221373. The next prime is 1322132221411. The reversal of 1322132221410 is 141222312231.

It is a super-3 number, since 3×1322132221410³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1322132221411) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 30218350 + ... + 30262070.

It is an arithmetic number, because the mean of its divisors is an integer number (8924534640).

Almost surely, 2^{1322132221410} is an apocalyptic number.

1322132221410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1322132221410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2284680867840).

1322132221410 is an abundant number, since it is smaller than the sum of its proper divisors (3247229514270).

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

1322132221410 is a wasteful number, since it uses less digits than its factorization.

1322132221410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43834.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1322132221410 its reverse (141222312231), we get a palindrome (1463354533641).

The spelling of 1322132221410 in words is "one trillion, three hundred twenty-two billion, one hundred thirty-two million, two hundred twenty-one thousand, four hundred ten".