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12132133332 = 223117910111519
BaseRepresentation
bin10110100110010000…
…11010100111010100
31011022111202020012120
423103020122213110
5144321311231312
65323505415540
7606434301054
oct132310324724
934274666176
1012132133332
115166300380
12242703a5b0
1311b4649327
148313b5564
154b017128c
hex2d321a9d4

12132133332 has 96 divisors (see below), whose sum is σ = 31585075200. Its totient is φ = 3593616000.

The previous prime is 12132133319. The next prime is 12132133367. The reversal of 12132133332 is 23333123121.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1047469 + ... + 1058987.

It is an arithmetic number, because the mean of its divisors is an integer number (329011200).

Almost surely, 212132133332 is an apocalyptic number.

12132133332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12132133332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15792537600).

12132133332 is an abundant number, since it is smaller than the sum of its proper divisors (19452941868).

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

12132133332 is a wasteful number, since it uses less digits than its factorization.

12132133332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11717 (or 11715 counting only the distinct ones).

The product of its digits is 1944, while the sum is 24.

Adding to 12132133332 its reverse (23333123121), we get a palindrome (35465256453).

The spelling of 12132133332 in words is "twelve billion, one hundred thirty-two million, one hundred thirty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 79 101 132 158 202 237 303 316 404 474 606 869 948 1111 1212 1738 2222 2607 3333 3476 4444 5214 6666 7979 10428 11519 13332 15958 23038 23937 31916 34557 46076 47874 69114 87769 95748 126709 138228 175538 253418 263307 351076 380127 506836 526614 760254 910001 1053228 1163419 1520508 1820002 2326838 2730003 3490257 3640004 4653676 5460006 6980514 10010011 10920012 12797609 13961028 20020022 25595218 30030033 38392827 40040044 51190436 60060066 76785654 91910101 120120132 153571308 183820202 275730303 367640404 551460606 1011011111 1102921212 2022022222 3033033333 4044044444 6066066666 12132133332