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12041231240 = 2351729531093
BaseRepresentation
bin10110011011011011…
…01001101110001000
31011002011200220222102
423031231221232020
5144130023344430
65310501212532
7604251530303
oct131555515610
934064626872
1012041231240
115119a63285
122400701148
13119b86c8cc
148232b1b3a
154a71b7345
hex2cdb69b88

12041231240 has 96 divisors (see below), whose sum is σ = 28836767880. Its totient is φ = 4524269568.

The previous prime is 12041231233. The next prime is 12041231243. The reversal of 12041231240 is 4213214021.

It can be written as a sum of positive squares in 12 ways, for example, as 7474985764 + 4566245476 = 86458^2 + 67574^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (12041231243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11016134 + ... + 11017226.

Almost surely, 212041231240 is an apocalyptic number.

12041231240 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 12041231240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14418383940).

12041231240 is an abundant number, since it is smaller than the sum of its proper divisors (16795536640).

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

12041231240 is a wasteful number, since it uses less digits than its factorization.

12041231240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2091 (or 2070 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 12041231240 its reverse (4213214021), we get a palindrome (16254445261).

The spelling of 12041231240 in words is "twelve billion, forty-one million, two hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 289 340 578 680 953 1093 1156 1445 1906 2186 2312 2890 3812 4372 4765 5465 5780 7624 8744 9530 10930 11560 16201 18581 19060 21860 32402 37162 38120 43720 64804 74324 81005 92905 129608 148648 162010 185810 275417 315877 324020 371620 550834 631754 648040 743240 1041629 1101668 1263508 1377085 1579385 2083258 2203336 2527016 2754170 3158770 4166516 5208145 5508340 6317540 8333032 10416290 11016680 12635080 17707693 20832580 35415386 41665160 70830772 88538465 141661544 177076930 301030781 354153860 602061562 708307720 1204123124 1505153905 2408246248 3010307810 6020615620 12041231240