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12333022020 = 223251131200929
BaseRepresentation
bin10110111110001101…
…01111101101000100
31011211111202102200100
423133012233231010
5200224223201040
65355443244100
7614423646264
oct133706575504
934744672610
1012333022020
11525973aa90
122482379630
131217154c87
1484dd497a4
154c2b03b30
hex2df1afb44

12333022020 has 144 divisors (see below), whose sum is σ = 42127787520. Its totient is φ = 2893363200.

The previous prime is 12333022001. The next prime is 12333022021. The reversal of 12333022020 is 2022033321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12333021984 and 12333022002.

It is not an unprimeable number, because it can be changed into a prime (12333022021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39085 + ... + 161844.

It is an arithmetic number, because the mean of its divisors is an integer number (292554080).

Almost surely, 212333022020 is an apocalyptic number.

12333022020 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 12333022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21063893760).

12333022020 is an abundant number, since it is smaller than the sum of its proper divisors (29794765500).

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

12333022020 is a wasteful number, since it uses less digits than its factorization.

12333022020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200986 (or 200981 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 12333022020 its reverse (2022033321), we get a palindrome (14355055341).

The spelling of 12333022020 in words is "twelve billion, three hundred thirty-three million, twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 31 33 36 44 45 55 60 62 66 90 93 99 110 124 132 155 165 180 186 198 220 279 310 330 341 372 396 465 495 558 620 660 682 930 990 1023 1116 1364 1395 1705 1860 1980 2046 2790 3069 3410 4092 5115 5580 6138 6820 10230 12276 15345 20460 30690 61380 200929 401858 602787 803716 1004645 1205574 1808361 2009290 2210219 2411148 3013935 3616722 4018580 4420438 6027870 6228799 6630657 7233444 8840876 9041805 11051095 12055740 12457598 13261314 18083610 18686397 19891971 22102190 24915196 26522628 31143995 33153285 36167220 37372794 39783942 44204380 56059191 62287990 66306570 68516789 74745588 79567884 93431985 99459855 112118382 124575980 132613140 137033578 186863970 198919710 205550367 224236764 274067156 280295955 342583945 373727940 397839420 411100734 560591910 616651101 685167890 822201468 1027751835 1121183820 1233302202 1370335780 2055503670 2466604404 3083255505 4111007340 6166511010 12333022020