Search a number
-
+
12042253300 = 22527113474507
BaseRepresentation
bin10110011011100011…
…00011001111110100
31011002020121211222111
423031301203033310
5144130304101200
65310535140404
7604263315130
oct131561431764
934066554874
1012042253300
11511a5a1160
122400b14704
13119bb39b8c
1482349a3c0
154a731a0ba
hex2cdc633f4

12042253300 has 144 divisors (see below), whose sum is σ = 32680908288. Its totient is φ = 3741782400.

The previous prime is 12042253291. The next prime is 12042253319. The reversal of 12042253300 is 335224021.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2669647 + ... + 2674153.

It is an arithmetic number, because the mean of its divisors is an integer number (226950752).

Almost surely, 212042253300 is an apocalyptic number.

12042253300 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 12042253300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16340454144).

12042253300 is an abundant number, since it is smaller than the sum of its proper divisors (20638654988).

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

12042253300 is a wasteful number, since it uses less digits than its factorization.

12042253300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4886 (or 4879 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

Adding to 12042253300 its reverse (335224021), we get a palindrome (12377477321).

The spelling of 12042253300 in words is "twelve billion, forty-two million, two hundred fifty-three thousand, three hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 347 350 385 550 694 700 770 1100 1388 1540 1735 1925 2429 3470 3817 3850 4507 4858 6940 7634 7700 8675 9014 9716 12145 15268 17350 18028 19085 22535 24290 26719 31549 34700 38170 45070 48580 49577 53438 60725 63098 76340 90140 95425 99154 106876 112675 121450 126196 133595 157745 190850 198308 225350 242900 247885 267190 315490 347039 381700 450700 495770 534380 630980 667975 694078 788725 991540 1239425 1335950 1388156 1563929 1577450 1735195 2478850 2671900 3127858 3154900 3470390 4957700 6255716 6940780 7819645 8675975 10947503 15639290 17203219 17351950 21895006 31278580 34406438 34703900 39098225 43790012 54737515 68812876 78196450 86016095 109475030 120422533 156392900 172032190 218950060 240845066 273687575 344064380 430080475 481690132 547375150 602112665 860160950 1094750300 1204225330 1720321900 2408450660 3010563325 6021126650 12042253300