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12132430020 = 2233530797297
BaseRepresentation
bin10110100110010011…
…00011000011000100
31011022112022022012000
423103021203003010
5144321400230040
65323520025300
7606436645044
oct132311430304
934275268160
1012132430020
115166493277
122427162230
1311b4721399
14831451724
154b01ce130
hex2d32630c4

12132430020 has 96 divisors (see below), whose sum is σ = 37762771200. Its totient is φ = 3233820672.

The previous prime is 12132430003. The next prime is 12132430027. The reversal of 12132430020 is 2003423121.

12132430020 is a `hidden beast` number, since 1 + 21 + 324 + 300 + 20 = 666.

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 = 12132429975 and 12132430002.

It is not an unprimeable number, because it can be changed into a prime (12132430027) 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, 1659012 + ... + 1666308.

It is an arithmetic number, because the mean of its divisors is an integer number (393362200).

Almost surely, 212132430020 is an apocalyptic number.

12132430020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12132430020 is an abundant number, since it is smaller than the sum of its proper divisors (25630341180).

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

12132430020 is a wasteful number, since it uses less digits than its factorization.

12132430020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10394 (or 10386 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12132430020 its reverse (2003423121), we get a palindrome (14135853141).

The spelling of 12132430020 in words is "twelve billion, one hundred thirty-two million, four hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 3079 6158 7297 9237 12316 14594 15395 18474 21891 27711 29188 30790 36485 36948 43782 46185 55422 61580 65673 72970 83133 87564 92370 109455 110844 131346 138555 145940 166266 184740 197019 218910 262692 277110 328365 332532 394038 415665 437820 554220 656730 788076 831330 985095 1313460 1662660 1970190 3940380 22467463 44934926 67402389 89869852 112337315 134804778 202207167 224674630 269609556 337011945 404414334 449349260 606621501 674023890 808828668 1011035835 1213243002 1348047780 2022071670 2426486004 3033107505 4044143340 6066215010 12132430020