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212221131330000 = 24354132323658989
BaseRepresentation
bin110000010000001110010101…
…001001011001000111010000
31000211102010211112022122010010
4300100032111021121013100
5210304012334110030000
62031205013011234520
762462320320532242
oct6020162511310720
91024363745278103
10212221131330000
1161690527051341
121b975a635a8a40
13915549cb756a0
143a597b3d42092
15198055a673d50
hexc103952591d0

212221131330000 has 400 divisors, whose sum is σ = 769853692460160. Its totient is φ = 49967782656000.

The previous prime is 212221131329983. The next prime is 212221131330007. The reversal of 212221131330000 is 33131122212.

It is a tau number, because it is divible by the number of its divisors (400).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212221131330007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2859495 + ... + 20799494.

Almost surely, 2212221131330000 is an apocalyptic number.

212221131330000 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 212221131330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384926846230080).

212221131330000 is an abundant number, since it is smaller than the sum of its proper divisors (557632561130160).

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

212221131330000 is a wasteful number, since it uses less digits than its factorization.

212221131330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23659056 (or 23659035 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 212221131330000 its reverse (33131122212), we get a palindrome (212254262452212).

The spelling of 212221131330000 in words is "two hundred twelve trillion, two hundred twenty-one billion, one hundred thirty-one million, three hundred thirty thousand".