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222121022012000 = 2553397139874699
BaseRepresentation
bin110010100000010010010100…
…100111010011101001100000
31002010110120011221012121120222
4302200102110213103221200
5213103212323113341000
62104224553330222212
764533466664066636
oct6240222447235140
91063416157177528
10222121022012000
1164857aa6274001
1220ab4660a24968
1396c2bcb967667
143cbca016b5356
151aa2d26986a85
hexca04949d3a60

222121022012000 has 96 divisors (see below), whose sum is σ = 547126043536800. Its totient is φ = 88624608652800.

The previous prime is 222121022011909. The next prime is 222121022012033. The reversal of 222121022012000 is 210220121222.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 222121022012000.

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 15 ways as a sum of consecutive naturals, for example, 68349350 + ... + 71525349.

It is an arithmetic number, because the mean of its divisors is an integer number (5699229620175).

Almost surely, 2222121022012000 is an apocalyptic number.

222121022012000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222121022012000 is an abundant number, since it is smaller than the sum of its proper divisors (325005021524800).

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

222121022012000 is a wasteful number, since it uses less digits than its factorization.

222121022012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139875121 (or 139875103 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 222121022012000 its reverse (210220121222), we get a palindrome (222331242133222).

The spelling of 222121022012000 in words is "two hundred twenty-two trillion, one hundred twenty-one billion, twenty-two million, twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 397 400 500 794 800 1000 1588 1985 2000 3176 3970 4000 6352 7940 9925 12704 15880 19850 31760 39700 49625 63520 79400 99250 158800 198500 317600 397000 794000 1588000 139874699 279749398 559498796 699373495 1118997592 1398746990 2237995184 2797493980 3496867475 4475990368 5594987960 6993734950 11189975920 13987469900 17484337375 22379951840 27974939800 34968674750 55530255503 55949879600 69937349500 111060511006 111899759200 139874699000 222121022012 277651277515 279749398000 444242044024 555302555030 559498796000 888484088048 1110605110060 1388256387575 1776968176096 2221210220120 2776512775150 4442420440240 5553025550300 6941281937875 8884840880480 11106051100600 13882563875750 22212102201200 27765127751500 44424204402400 55530255503000 111060511006000 222121022012000