Search a number
-
+
12201190956 = 223213710212423
BaseRepresentation
bin10110101110011111…
…10110011000101100
31011111022200201110100
423113033312120230
5144442001102311
65334413511100
7611233261203
oct132717663054
934438621410
1012201190956
1151a1288399
1224461a2490
1311c5a47c26
1483a63023a
154b6262a56
hex2d73f662c

12201190956 has 72 divisors (see below), whose sum is σ = 31110285024. Its totient is φ = 4031758080.

The previous prime is 12201190877. The next prime is 12201190957. The reversal of 12201190956 is 65909110221.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12201190956.

It is not an unprimeable number, because it can be changed into a prime (12201190957) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5034361 + ... + 5036783.

It is an arithmetic number, because the mean of its divisors is an integer number (432087292).

Almost surely, 212201190956 is an apocalyptic number.

It is an amenable number.

12201190956 is an abundant number, since it is smaller than the sum of its proper divisors (18909094068).

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

12201190956 is a wasteful number, since it uses less digits than its factorization.

12201190956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3591 (or 3586 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The spelling of 12201190956 in words is "twelve billion, two hundred one million, one hundred ninety thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 137 274 411 548 822 1021 1233 1644 2042 2423 2466 3063 4084 4846 4932 6126 7269 9189 9692 12252 14538 18378 21807 29076 36756 43614 87228 139877 279754 331951 419631 559508 663902 839262 995853 1258893 1327804 1678524 1991706 2473883 2517786 2987559 3983412 4947766 5035572 5975118 7421649 9895532 11950236 14843298 22264947 29686596 44529894 89059788 338921971 677843942 1016765913 1355687884 2033531826 3050297739 4067063652 6100595478 12201190956