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12132423400 = 23521915112113
BaseRepresentation
bin10110100110010011…
…00001011011101000
31011022112021222002211
423103021201123220
5144321400022100
65323515534504
7606436616536
oct132311413350
934275258084
1012132423400
1151664892a9
12242715a434
1311b471b376
1483144d156
154b01cc1ba
hex2d32616e8

12132423400 has 96 divisors (see below), whose sum is σ = 29726222400. Its totient is φ = 4592332800.

The previous prime is 12132423379. The next prime is 12132423421. The reversal of 12132423400 is 432423121.

It is an interprime number because it is at equal distance from previous prime (12132423379) and next prime (12132423421).

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, 5740744 + ... + 5742856.

It is an arithmetic number, because the mean of its divisors is an integer number (309648150).

Almost surely, 212132423400 is an apocalyptic number.

12132423400 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 12132423400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14863111200).

12132423400 is an abundant number, since it is smaller than the sum of its proper divisors (17593799000).

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

12132423400 is a wasteful number, since it uses less digits than its factorization.

12132423400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3659 (or 3650 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 12132423400 its reverse (432423121), we get a palindrome (12564846521).

The spelling of 12132423400 in words is "twelve billion, one hundred thirty-two million, four hundred twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 760 950 1511 1900 2113 3022 3800 4226 6044 7555 8452 10565 12088 15110 16904 21130 28709 30220 37775 40147 42260 52825 57418 60440 75550 80294 84520 105650 114836 143545 151100 160588 200735 211300 229672 287090 302200 321176 401470 422600 574180 717725 802940 1003675 1148360 1435450 1605880 2007350 2870900 3192743 4014700 5741800 6385486 8029400 12770972 15963715 25541944 31927430 60662117 63854860 79818575 121324234 127709720 159637150 242648468 303310585 319274300 485296936 606621170 638548600 1213242340 1516552925 2426484680 3033105850 6066211700 12132423400