Search a number
-
+
12022644120 = 23351710755079
BaseRepresentation
bin10110011001001101…
…01111110110011000
31011000212201121020120
423030212233312120
5144110244102440
65304554553240
7603634534404
oct131446576630
934025647216
1012022644120
11510a518523
1223b6438820
131197a62606
14820a34104
154a5744dd0
hex2cc9afd98

12022644120 has 128 divisors (see below), whose sum is σ = 38547187200. Its totient is φ = 2989193216.

The previous prime is 12022644089. The next prime is 12022644187. The reversal of 12022644120 is 2144622021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 31 ways as a sum of consecutive naturals, for example, 190741 + ... + 245819.

It is an arithmetic number, because the mean of its divisors is an integer number (301149900).

Almost surely, 212022644120 is an apocalyptic number.

12022644120 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 12022644120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19273593600).

12022644120 is an abundant number, since it is smaller than the sum of its proper divisors (26524543080).

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

12022644120 is a wasteful number, since it uses less digits than its factorization.

12022644120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55217 (or 55213 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The spelling of 12022644120 in words is "twelve billion, twenty-two million, six hundred forty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 107 120 136 170 204 214 255 321 340 408 428 510 535 642 680 856 1020 1070 1284 1605 1819 2040 2140 2568 3210 3638 4280 5457 6420 7276 9095 10914 12840 14552 18190 21828 27285 36380 43656 54570 55079 72760 109140 110158 165237 218280 220316 275395 330474 440632 550790 660948 826185 936343 1101580 1321896 1652370 1872686 2203160 2809029 3304740 3745372 4681715 5618058 5893453 6609480 7490744 9363430 11236116 11786906 14045145 17680359 18726860 22472232 23573812 28090290 29467265 35360718 37453720 47147624 56180580 58934530 70721436 88401795 100188701 112361160 117869060 141442872 176803590 200377402 235738120 300566103 353607180 400754804 500943505 601132206 707214360 801509608 1001887010 1202264412 1502830515 2003774020 2404528824 3005661030 4007548040 6011322060 12022644120