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12132133002 = 2321126438663
BaseRepresentation
bin10110100110010000…
…11010100010001010
31011022111202012202100
423103020122202022
5144321311224002
65323505414230
7606434300103
oct132310324212
934274665670
1012132133002
115166300100
12242703a376
1311b4649132
148313b53aa
154b017111c
hex2d321a88a

12132133002 has 72 divisors (see below), whose sum is σ = 28941468192. Its totient is φ = 3670262640.

The previous prime is 12132132967. The next prime is 12132133031. The reversal of 12132133002 is 20033123121.

12132133002 is a `hidden beast` number, since 12 + 1 + 321 + 330 + 0 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1396123 + ... + 1404785.

It is an arithmetic number, because the mean of its divisors is an integer number (401964836).

Almost surely, 212132133002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12132133002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14470734096).

12132133002 is an abundant number, since it is smaller than the sum of its proper divisors (16809335190).

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

12132133002 is a wasteful number, since it uses less digits than its factorization.

12132133002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9336 (or 9322 counting only the distinct ones).

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

Adding to 12132133002 its reverse (20033123121), we get a palindrome (32165256123).

It can be divided in two parts, 121 and 32133002, that added together give a palindrome (32133123).

The spelling of 12132133002 in words is "twelve billion, one hundred thirty-two million, one hundred thirty-three thousand, two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 643 726 1089 1286 1929 2178 3858 5787 7073 8663 11574 14146 17326 21219 25989 42438 51978 63657 77803 77967 95293 127314 155606 155934 190586 233409 285879 466818 571758 700227 857637 1048223 1400454 1715274 2096446 3144669 5570309 6289338 9434007 11140618 16710927 18868014 33421854 50132781 61273399 100265562 122546798 183820197 367640394 551460591 674007389 1102921182 1348014778 2022022167 4044044334 6066066501 12132133002