220002132020000 has 480 divisors, whose sum is σ = 623119939041600. Its totient is φ = 75594816000000.

The previous prime is 220002132019987. The next prime is 220002132020023. The reversal of 220002132020000 is 20231200022.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1625952350 + ... + 1626087650.

It is an arithmetic number, because the mean of its divisors is an integer number (1298166539670).

Almost surely, 2^{220002132020000} is an apocalyptic number.

220002132020000 is a gapful number since it is divisible by the number (20) 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 220002132020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311559969520800).

220002132020000 is an abundant number, since it is smaller than the sum of its proper divisors (403117807021600).

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

220002132020000 is a wasteful number, since it uses less digits than its factorization.

220002132020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135750 (or 135727 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 220002132020000 its reverse (20231200022), we get a palindrome (220022363220022).

The spelling of 220002132020000 in words is "two hundred twenty trillion, two billion, one hundred thirty-two million, twenty thousand".