Search a number
-
+
12220010202000 = 243533755045091
BaseRepresentation
bin1011000111010011000101…
…0111100000001110010000
31121021012222112002101001110
42301310301113200032100
53100203040102431000
641553443432133320
72400603146613606
oct261646127401620
947235875071043
1012220010202000
113991528202a27
1214543a0837240
136a845a549173
1430364747d876
15162d0ce78850
hexb1d315e0390

12220010202000 has 160 divisors (see below), whose sum is σ = 40462105866624. Its totient is φ = 3170597184000.

The previous prime is 12220010201989. The next prime is 12220010202007. The reversal of 12220010202000 is 20201002221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (12220010202007) by changing a digit.

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, 27300546 + ... + 27744545.

Almost surely, 212220010202000 is an apocalyptic number.

12220010202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12220010202000 is an abundant number, since it is smaller than the sum of its proper divisors (28242095664624).

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

12220010202000 is a wasteful number, since it uses less digits than its factorization.

12220010202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55045154 (or 55045138 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 12220010202000 its reverse (20201002221), we get a palindrome (12240211204221).

The spelling of 12220010202000 in words is "twelve trillion, two hundred twenty billion, ten million, two hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 37 40 48 50 60 74 75 80 100 111 120 125 148 150 185 200 222 240 250 296 300 370 375 400 444 500 555 592 600 740 750 888 925 1000 1110 1200 1480 1500 1776 1850 2000 2220 2775 2960 3000 3700 4440 4625 5550 6000 7400 8880 9250 11100 13875 14800 18500 22200 27750 37000 44400 55500 74000 111000 222000 55045091 110090182 165135273 220180364 275225455 330270546 440360728 550450910 660541092 825676365 880721456 1100901820 1321082184 1376127275 1651352730 2036668367 2201803640 2642164368 2752254550 3302705460 4073336734 4128381825 4403607280 5504509100 6110005101 6605410920 6880636375 8146673468 8256763650 10183341835 11009018200 12220010202 13210821840 13761272750 16293346936 16513527300 20366683670 20641909125 22018036400 24440020404 27522545500 30550025505 32586693872 33027054600 40733367340 41283818250 48880040808 50916709175 55045091000 61100051010 66054109200 81466734680 82567636500 97760081616 101833418350 110090182000 122200102020 152750127525 162933469360 165135273000 203666836700 244400204040 254583545875 305500255050 330270546000 407333673400 488800408080 509167091750 611000510100 763750637625 814667346800 1018334183500 1222001020200 1527501275250 2036668367000 2444002040400 3055002550500 4073336734000 6110005101000 12220010202000