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12013221330 = 23251127144777
BaseRepresentation
bin10110011000000101…
…10011010111010010
31011000012222212121100
423030002303113102
5144100341040310
65304021005230
7603461460615
oct131402632722
934005885540
1012013221330
115105171aa0
1223b3253816
131195b136b6
1481d6a017c
154a49d2ec0
hex2cc0b35d2

12013221330 has 96 divisors (see below), whose sum is σ = 34200361728. Its totient is φ = 2901484800.

The previous prime is 12013221301. The next prime is 12013221331. The reversal of 12013221330 is 3312231021.

12013221330 is a `hidden beast` number, since 12 + 0 + 1 + 322 + 1 + 330 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12013221331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 245902 + ... + 290678.

It is an arithmetic number, because the mean of its divisors is an integer number (356253768).

Almost surely, 212013221330 is an apocalyptic number.

12013221330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12013221330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17100180864).

12013221330 is an abundant number, since it is smaller than the sum of its proper divisors (22187140398).

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

12013221330 is a wasteful number, since it uses less digits than its factorization.

12013221330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45072 (or 45069 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12013221330 its reverse (3312231021), we get a palindrome (15325452351).

The spelling of 12013221330 in words is "twelve billion, thirteen million, two hundred twenty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 271 330 495 542 813 990 1355 1626 2439 2710 2981 4065 4878 5962 8130 8943 12195 14905 17886 24390 26829 29810 44715 44777 53658 89430 89554 134145 134331 223885 268290 268662 402993 447770 492547 671655 805986 985094 1343310 1477641 2014965 2462735 2955282 4029930 4432923 4925470 7388205 8865846 12134567 14776410 22164615 24269134 36403701 44329230 60672835 72807402 109211103 121345670 133480237 182018505 218422206 266960474 364037010 400440711 546055515 667401185 800881422 1092111030 1201322133 1334802370 2002203555 2402644266 4004407110 6006610665 12013221330