Search a number
-
+
12201002000001 = 34150629654321
BaseRepresentation
bin1011000110001100010001…
…1000111101111010000001
31121012101220210210122220000
42301203010120331322001
53044400123003000001
641541021332310213
72366331126560223
oct261430430757201
947171823718800
1012201002000001
113984463605481
121450776a72369
136a671b499369
14302762bac413
1516259931da86
hexb18c463de81

12201002000001 has 10 divisors (see below), whose sum is σ = 18226188172962. Its totient is φ = 8134001333280.

The previous prime is 12201001999931. The next prime is 12201002000023. The reversal of 12201002000001 is 10000020010221.

It can be written as a sum of positive squares in only one way, i.e., 11433189690000 + 767812310001 = 3381300^2 + 876249^2 .

It is not a de Polignac number, because 12201002000001 - 211 = 12201001997953 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (12201002000501) 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, 75314827080 + ... + 75314827241.

Almost surely, 212201002000001 is an apocalyptic number.

It is an amenable number.

12201002000001 is a deficient number, since it is larger than the sum of its proper divisors (6025186172961).

12201002000001 is an equidigital number, since it uses as much as digits as its factorization.

12201002000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150629654333 (or 150629654324 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12201002000001 its reverse (10000020010221), we get a palindrome (22201022010222).

The spelling of 12201002000001 in words is "twelve trillion, two hundred one billion, two million, one", and thus it is an aban number.

Divisors: 1 3 9 27 81 150629654321 451888962963 1355666888889 4067000666667 12201002000001