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12000010212 = 2232678149157
BaseRepresentation
bin10110010110100000…
…11001111111100100
31010222022010200100200
423023100121333210
5144034000311322
65302425510500
7603241255341
oct131320317744
933868120320
1012000010212
1150a8769313
1223aa942430
131193169378
1481ba217c8
154a37738ac
hex2cb419fe4

12000010212 has 36 divisors (see below), whose sum is σ = 30338449596. Its totient is φ = 3999332160.

The previous prime is 12000010207. The next prime is 12000010213. The reversal of 12000010212 is 21201000021.

It can be written as a sum of positive squares in 2 ways, for example, as 6233734116 + 5766276096 = 78954^2 + 75936^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 12000010194 and 12000010203.

It is not an unprimeable number, because it can be changed into a prime (12000010213) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 219538 + ... + 268694.

It is an arithmetic number, because the mean of its divisors is an integer number (842734711).

Almost surely, 212000010212 is an apocalyptic number.

12000010212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12000010212 is an abundant number, since it is smaller than the sum of its proper divisors (18338439384).

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

12000010212 is a wasteful number, since it uses less digits than its factorization.

12000010212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55948 (or 55943 counting only the distinct ones).

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

Adding to 12000010212 its reverse (21201000021), we get a palindrome (33201010233).

The spelling of 12000010212 in words is "twelve billion, ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 6781 13562 20343 27124 40686 49157 61029 81372 98314 122058 147471 196628 244116 294942 442413 589884 884826 1769652 333333617 666667234 1000000851 1333334468 2000001702 3000002553 4000003404 6000005106 12000010212