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12131214120 = 2332545477411
BaseRepresentation
bin10110100110001001…
…11010001100101000
31011022110000112021200
423103010322030220
5144321042322440
65323434004200
7606423422124
oct132304721450
934273015250
1012131214120
1151658327a3
122426876660
1311b43b6b0c
14831216584
154b003dc30
hex2d313a328

12131214120 has 96 divisors (see below), whose sum is σ = 39440437920. Its totient is φ = 3233842560.

The previous prime is 12131214113. The next prime is 12131214157. The reversal of 12131214120 is 2141213121.

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

It is a junction number, because it is equal to n+sod(n) for n = 12131214093 and 12131214102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1633215 + ... + 1640625.

It is an arithmetic number, because the mean of its divisors is an integer number (410837895).

Almost surely, 212131214120 is an apocalyptic number.

12131214120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12131214120 is an abundant number, since it is smaller than the sum of its proper divisors (27309223800).

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

12131214120 is a wasteful number, since it uses less digits than its factorization.

12131214120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11975 (or 11968 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12131214120 its reverse (2141213121), we get a palindrome (14272427241).

Subtracting from 12131214120 its reverse (2141213121), we obtain a palindrome (9990000999).

The spelling of 12131214120 in words is "twelve billion, one hundred thirty-one million, two hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 4547 7411 9094 13641 14822 18188 22233 22735 27282 29644 36376 37055 40923 44466 45470 54564 59288 66699 68205 74110 81846 88932 90940 109128 111165 133398 136410 148220 163692 177864 181880 204615 222330 266796 272820 296440 327384 333495 409230 444660 533592 545640 666990 818460 889320 1333980 1636920 2667960 33697817 67395634 101093451 134791268 168489085 202186902 269582536 303280353 336978170 404373804 505467255 606560706 673956340 808747608 1010934510 1213121412 1347912680 1516401765 2021869020 2426242824 3032803530 4043738040 6065607060 12131214120