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12428215272 = 23321115692191
BaseRepresentation
bin10111001001100011…
…11000001111101000
31012002010212202021100
423210301320033220
5200423110342042
65413123441400
7616661041524
oct134461701750
935063782240
1012428215272
1152a84490a0
1224aa226260
131230aa4945
1485c848d84
154cb15924c
hex2e4c783e8

12428215272 has 48 divisors (see below), whose sum is σ = 36719729280. Its totient is φ = 3766125600.

The previous prime is 12428215259. The next prime is 12428215357. The reversal of 12428215272 is 27251282421.

It is a happy number.

12428215272 is a `hidden beast` number, since 12 + 42 + 82 + 1 + 527 + 2 = 666.

12428215272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7845304 + ... + 7846887.

It is an arithmetic number, because the mean of its divisors is an integer number (764994360).

Almost surely, 212428215272 is an apocalyptic number.

12428215272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12428215272 is an abundant number, since it is smaller than the sum of its proper divisors (24291514008).

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

12428215272 is a wasteful number, since it uses less digits than its factorization.

12428215272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15692214 (or 15692207 counting only the distinct ones).

The product of its digits is 35840, while the sum is 36.

Adding to 12428215272 its reverse (27251282421), we get a palindrome (39679497693).

The spelling of 12428215272 in words is "twelve billion, four hundred twenty-eight million, two hundred fifteen thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 15692191 31384382 47076573 62768764 94153146 125537528 141229719 172614101 188306292 282459438 345228202 376612584 517842303 564918876 690456404 1035684606 1129837752 1380912808 1553526909 2071369212 3107053818 4142738424 6214107636 12428215272