Search a number
-
+
12042335160 = 23325293114167
BaseRepresentation
bin10110011011100011…
…10111001110111000
31011002020210000021100
423031301313032320
5144130314211120
65310541011400
7604264105602
oct131561671670
934066700240
1012042335160
11511a647709
122400b53b60
13119bb6820b
148234bc172
154a7334490
hex2cdc773b8

12042335160 has 96 divisors (see below), whose sum is σ = 39271508640. Its totient is φ = 3200301312.

The previous prime is 12042335119. The next prime is 12042335177. The reversal of 12042335160 is 6153324021.

12042335160 is a `hidden beast` number, since 120 + 4 + 23 + 3 + 516 + 0 = 666.

It is a super-2 number, since 2×120423351602 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 48397 + ... + 162563.

It is an arithmetic number, because the mean of its divisors is an integer number (409078215).

Almost surely, 212042335160 is an apocalyptic number.

12042335160 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 12042335160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19635754320).

12042335160 is an abundant number, since it is smaller than the sum of its proper divisors (27229173480).

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

12042335160 is a wasteful number, since it uses less digits than its factorization.

12042335160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114477 (or 114470 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 12042335160 its reverse (6153324021), we get a palindrome (18195659181).

The spelling of 12042335160 in words is "twelve billion, forty-two million, three hundred thirty-five thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 293 360 586 879 1172 1465 1758 2344 2637 2930 3516 4395 5274 5860 7032 8790 10548 11720 13185 17580 21096 26370 35160 52740 105480 114167 228334 342501 456668 570835 685002 913336 1027503 1141670 1370004 1712505 2055006 2283340 2740008 3425010 4110012 4566680 5137515 6850020 8220024 10275030 13700040 20550060 33450931 41100120 66901862 100352793 133803724 167254655 200705586 267607448 301058379 334509310 401411172 501763965 602116758 669018620 802822344 1003527930 1204233516 1338037240 1505291895 2007055860 2408467032 3010583790 4014111720 6021167580 12042335160