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12131234040 = 23351311674621
BaseRepresentation
bin10110100110001001…
…11111000011111000
31011022110001112121110
423103010333003320
5144321043442130
65323434240320
7606423534162
oct132304770370
934273045543
1012131234040
115165846762
1224268860a0
1311b43c2bc3
1483121d932
154b0044ab0
hex2d313f0f8

12131234040 has 128 divisors (see below), whose sum is σ = 36899089920. Its totient is φ = 3190387200.

The previous prime is 12131233987. The next prime is 12131234041. The reversal of 12131234040 is 4043213121.

It is a junction number, because it is equal to n+sod(n) for n = 12131233998 and 12131234016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12131234041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2622930 + ... + 2627550.

It is an arithmetic number, because the mean of its divisors is an integer number (288274140).

Almost surely, 212131234040 is an apocalyptic number.

12131234040 is a gapful number since it is divisible by the number (10) 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 12131234040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18449544960).

12131234040 is an abundant number, since it is smaller than the sum of its proper divisors (24767855880).

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

12131234040 is a wasteful number, since it uses less digits than its factorization.

12131234040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4933 (or 4929 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 12131234040 its reverse (4043213121), we get a palindrome (16174447161).

The spelling of 12131234040 in words is "twelve billion, one hundred thirty-one million, two hundred thirty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 131 167 262 334 393 501 524 655 668 786 835 1002 1048 1310 1336 1572 1670 1965 2004 2505 2620 3144 3340 3930 4008 4621 5010 5240 6680 7860 9242 10020 13863 15720 18484 20040 21877 23105 27726 36968 43754 46210 55452 65631 69315 87508 92420 109385 110904 131262 138630 175016 184840 218770 262524 277260 328155 437540 525048 554520 605351 656310 771707 875080 1210702 1312620 1543414 1816053 2315121 2421404 2625240 3026755 3086828 3632106 3858535 4630242 4842808 6053510 6173656 7264212 7717070 9080265 9260484 11575605 12107020 14528424 15434140 18160530 18520968 23151210 24214040 30868280 36321060 46302420 72642120 92604840 101093617 202187234 303280851 404374468 505468085 606561702 808748936 1010936170 1213123404 1516404255 2021872340 2426246808 3032808510 4043744680 6065617020 12131234040