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12264044046220 = 22517359857117241
BaseRepresentation
bin1011001001110111000111…
…1111010010011110001100
31121102102122022112102112201
42302131301333102132030
53101413230233434340
642030005110211244
72404022305250311
oct262356177223614
947372568472481
1012264044046220
1139a917416091a
121460a2b653b24
136ac65723caa5
14305823690d08
15164038b6d79a
hexb2771fd278c

12264044046220 has 96 divisors (see below), whose sum is σ = 27377563973760. Its totient is φ = 4598779330560.

The previous prime is 12264044046161. The next prime is 12264044046253. The reversal of 12264044046220 is 2264044046221.

It is a self number, because there is not a number n which added to its sum of digits gives 12264044046220.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104546800 + ... + 104664040.

It is an arithmetic number, because the mean of its divisors is an integer number (285182958060).

Almost surely, 212264044046220 is an apocalyptic number.

12264044046220 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 12264044046220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13688781986880).

12264044046220 is an abundant number, since it is smaller than the sum of its proper divisors (15113519927540).

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

12264044046220 is a wasteful number, since it uses less digits than its factorization.

12264044046220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118483 (or 118481 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 37.

Subtracting from 12264044046220 its reverse (2264044046221), we obtain a palindrome (9999999999999).

The spelling of 12264044046220 in words is "twelve trillion, two hundred sixty-four billion, forty-four million, forty-six thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 359 718 857 1436 1714 1795 3428 3590 4285 6103 7180 8570 12206 14569 17140 24412 29138 30515 58276 61030 72845 117241 122060 145690 234482 291380 307663 468964 586205 615326 1172410 1230652 1538315 1993097 2344820 3076630 3986194 5230271 6153260 7972388 9965485 10460542 19930970 20921084 26151355 39861940 42089519 52302710 84179038 100475537 104605420 168358076 200951074 210447595 401902148 420895190 502377685 715521823 841790380 1004755370 1431043646 1708084129 2009510740 2862087292 3416168258 3577609115 6832336516 7155218230 8540420645 14310436460 17080841290 34161682580 36070717783 72141435566 144282871132 180353588915 360707177830 613202202311 721414355660 1226404404622 2452808809244 3066011011555 6132022023110 12264044046220