Search a number
-
+
12220232321220 = 2235711311014431907
BaseRepresentation
bin1011000111010011111010…
…0110110100100011000100
31121021020120000001012100020
42301310332212310203010
53100204013433234340
641553521445015140
72400611514604530
oct261647646644304
947236500035306
1012220232321220
113991631623430
1214544430b44b0
136a8494579361
14303668b7cbc0
15162d227019d0
hexb1d3e9b48c4

12220232321220 has 768 divisors, whose sum is σ = 44595599376384. Its totient is φ = 2426261760000.

The previous prime is 12220232321207. The next prime is 12220232321237. The reversal of 12220232321220 is 2212323202221.

12220232321220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6408091507 + ... + 6408093413.

It is an arithmetic number, because the mean of its divisors is an integer number (58067186688).

Almost surely, 212220232321220 is an apocalyptic number.

12220232321220 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 12220232321220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22297799688192).

12220232321220 is an abundant number, since it is smaller than the sum of its proper divisors (32375367055164).

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

12220232321220 is a wasteful number, since it uses less digits than its factorization.

12220232321220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2512 (or 2510 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 12220232321220 its reverse (2212323202221), we get a palindrome (14432555523441).

The spelling of 12220232321220 in words is "twelve trillion, two hundred twenty billion, two hundred thirty-two million, three hundred twenty-one thousand, two hundred twenty".