Search a number
-
+
12222010202000 = 2453101239253159
BaseRepresentation
bin1011000111011010100010…
…0100111001011110010000
31121021102010220102220021112
42301312220210321132100
53100221134102431000
641554414115112452
72401003543415444
oct261665044713620
947242126386245
1012222010202000
11399236414a595
12145485a5a2728
136a86b89c3511
14303796d38824
15162dc883b235
hexb1da8939790

12222010202000 has 160 divisors (see below), whose sum is σ = 29970417484800. Its totient is φ = 4820128320000.

The previous prime is 12222010201997. The next prime is 12222010202009. The reversal of 12222010202000 is 20201022221.

It is not an unprimeable number, because it can be changed into a prime (12222010202009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48151421 + ... + 48404579.

It is an arithmetic number, because the mean of its divisors is an integer number (187315109280).

Almost surely, 212222010202000 is an apocalyptic number.

12222010202000 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 12222010202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14985208742400).

12222010202000 is an abundant number, since it is smaller than the sum of its proper divisors (17748407282800).

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

12222010202000 is a wasteful number, since it uses less digits than its factorization.

12222010202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253522 (or 253506 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 12222010202000 its reverse (20201022221), we get a palindrome (12242211224221).

The spelling of 12222010202000 in words is "twelve trillion, two hundred twenty-two billion, ten million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 101 125 200 202 239 250 400 404 478 500 505 808 956 1000 1010 1195 1616 1912 2000 2020 2390 2525 3824 4040 4780 5050 5975 8080 9560 10100 11950 12625 19120 20200 23900 24139 25250 29875 40400 47800 48278 50500 59750 95600 96556 101000 119500 120695 193112 202000 239000 241390 253159 386224 478000 482780 506318 603475 965560 1012636 1206950 1265795 1931120 2025272 2413900 2531590 3017375 4050544 4827800 5063180 6034750 6328975 9655600 10126360 12069500 12657950 20252720 24139000 25315900 25569059 31644875 48278000 50631800 51138118 60505001 63289750 101263600 102276236 121010002 126579500 127845295 204552472 242020004 253159000 255690590 302525005 409104944 484040008 506318000 511381180 605050010 639226475 968080016 1022762360 1210100020 1278452950 1512625025 2045524720 2420200040 2556905900 3025250050 3196132375 4840400080 5113811800 6050500100 6111005101 6392264750 7563125125 10227623600 12101000200 12222010202 12784529500 15126250250 24202000400 24444020404 25569059000 30252500500 30555025505 48888040808 51138118000 60505001000 61110051010 97776081616 121010002000 122220102020 152775127525 244440204040 305550255050 488880408080 611100510100 763875637625 1222201020200 1527751275250 2444402040400 3055502550500 6111005101000 12222010202000