Search a number
-
+
12221202111100 = 22527910115316709
BaseRepresentation
bin1011000111010111100001…
…1010010001101001111100
31121021100001120212121221221
42301311320122101221330
53100213010220023400
641554202011003124
72400644531643343
oct261657032215174
947240046777857
1012221202111100
113991a89a92974
121454673a394a4
136a85ba469a18
1430371b8a4b5a
15162d7c916c1a
hexb1d78691a7c

12221202111100 has 72 divisors (see below), whose sum is σ = 27121604731200. Its totient is φ = 4778812896000.

The previous prime is 12221202111073. The next prime is 12221202111113. The reversal of 12221202111100 is 111120212221.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 6860455 + ... + 8456254.

It is an arithmetic number, because the mean of its divisors is an integer number (376688954600).

Almost surely, 212221202111100 is an apocalyptic number.

12221202111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12221202111100 is an abundant number, since it is smaller than the sum of its proper divisors (14900402620100).

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

12221202111100 is a wasteful number, since it uses less digits than its factorization.

12221202111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15316903 (or 15316896 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12221202111100 its reverse (111120212221), we get a palindrome (12332322323321).

The spelling of 12221202111100 in words is "twelve trillion, two hundred twenty-one billion, two hundred two million, one hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 79 100 101 158 202 316 395 404 505 790 1010 1580 1975 2020 2525 3950 5050 7900 7979 10100 15958 31916 39895 79790 159580 199475 398950 797900 15316709 30633418 61266836 76583545 153167090 306334180 382917725 765835450 1210020011 1531670900 1546987609 2420040022 3093975218 4840080044 6050100055 6187950436 7734938045 12100200110 15469876090 24200400220 30250500275 30939752180 38674690225 60501000550 77349380450 121002001100 122212021111 154698760900 244424042222 488848084444 611060105555 1222120211110 2444240422220 3055300527775 6110601055550 12221202111100