Search a number
-
+
12220101220000 = 2554611005061
BaseRepresentation
bin1011000111010011011011…
…0010101101011010100000
31121021020012212100120021111
42301310312302231122200
53100203231403020000
641553500443033104
72400605333346322
oct261646662553240
947236185316244
1012220101220000
11399157461a113
12145440720b794
136a847336657b
143036555b3612
15162d15e56cba
hexb1d36cad6a0

12220101220000 has 60 divisors (see below), whose sum is σ = 30063282065586. Its totient is φ = 4888040480000.

The previous prime is 12220101219983. The next prime is 12220101220007. The reversal of 12220101220000 is 2210102221.

It is a happy number.

12220101220000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 165678305296 + 12054422914704 = 407036^2 + 3471948^2 .

It is not an unprimeable number, because it can be changed into a prime (12220101220007) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 305482531 + ... + 305522530.

Almost surely, 212220101220000 is an apocalyptic number.

12220101220000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12220101220000 is an abundant number, since it is smaller than the sum of its proper divisors (17843180845586).

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

12220101220000 is an frugal number, since it uses more digits than its factorization.

12220101220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611005091 (or 611005068 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12220101220000 its reverse (2210102221), we get a palindrome (12222311322221).

The spelling of 12220101220000 in words is "twelve trillion, two hundred twenty billion, one hundred one million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 10000 20000 611005061 1222010122 2444020244 3055025305 4888040488 6110050610 9776080976 12220101220 15275126525 19552161952 24440202440 30550253050 48880404880 61100506100 76375632625 97760809760 122201012200 152751265250 244402024400 305502530500 381878163125 488804048800 611005061000 763756326250 1222010122000 1527512652500 2444020244000 3055025305000 6110050610000 12220101220000