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12000210201 = 327227211361
BaseRepresentation
bin10110010110100010…
…01010110100011001
31010222022111211200200
423023101022310121
5144034023211301
65302434052413
7603243050400
oct131321126431
933868454620
1012000210201
1150a88955a1
1223aaa1a109
1311932093c5
1481ba74637
154a37b2c86
hex2cb44ad19

12000210201 has 18 divisors (see below), whose sum is σ = 20163619242. Its totient is φ = 6857262720.

The previous prime is 12000210199. The next prime is 12000210269. The reversal of 12000210201 is 10201200021.

It can be written as a sum of positive squares in only one way, i.e., 9089715600 + 2910494601 = 95340^2 + 53949^2 .

It is not a de Polignac number, because 12000210201 - 21 = 12000210199 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 (12000218201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13605240 + ... + 13606121.

It is an arithmetic number, because the mean of its divisors is an integer number (1120201069).

Almost surely, 212000210201 is an apocalyptic number.

It is an amenable number.

12000210201 is a deficient number, since it is larger than the sum of its proper divisors (8163409041).

12000210201 is a wasteful number, since it uses less digits than its factorization.

12000210201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27211381 (or 27211371 counting only the distinct ones).

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

Adding to 12000210201 its reverse (10201200021), we get a palindrome (22201410222).

The spelling of 12000210201 in words is "twelve billion, two hundred ten thousand, two hundred one".

Divisors: 1 3 7 9 21 49 63 147 441 27211361 81634083 190479527 244902249 571438581 1333356689 1714315743 4000070067 12000210201