Search a number
-
+
12213312322200 = 233521117521208931
BaseRepresentation
bin1011000110111010001000…
…1001000111101010011000
31121020120200201211211021020
42301232202021013222120
53100100330423302300
641550415045242440
72400245156564343
oct261564211075230
947216621754236
1012213312322200
113989700450780
121453031703420
136a7930a04092
143031adac945a
15162a69e3b8a0
hexb1ba2247a98

12213312322200 has 384 divisors, whose sum is σ = 43816951607040. Its totient is φ = 2781276160000.

The previous prime is 12213312322193. The next prime is 12213312322213. The reversal of 12213312322200 is 222321331221.

It is a super-2 number, since 2×122133123222002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58351735 + ... + 58560665.

It is an arithmetic number, because the mean of its divisors is an integer number (114106644810).

Almost surely, 212213312322200 is an apocalyptic number.

12213312322200 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 12213312322200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21908475803520).

12213312322200 is an abundant number, since it is smaller than the sum of its proper divisors (31603639284840).

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

12213312322200 is a wasteful number, since it uses less digits than its factorization.

12213312322200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209499 (or 209490 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 12213312322200 its reverse (222321331221), we get a palindrome (12435633653421).

The spelling of 12213312322200 in words is "twelve trillion, two hundred thirteen billion, three hundred twelve million, three hundred twenty-two thousand, two hundred".