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2222012122000 = 245311607166393
BaseRepresentation
bin100000010101011010001…
…111100100001110010000
321212102101211211012012021
4200111122033210032100
5242401140100401000
64420440035141224
7316351350255616
oct40253217441620
97772354735167
102222012122000
11787393a08050
122ba783444814
131316c508abb8
14797901896b6
153cbedb7711a
hex2055a3e4390

2222012122000 has 160 divisors (see below), whose sum is σ = 5870955377664. Its totient is φ = 806668416000.

The previous prime is 2222012121947. The next prime is 2222012122039. The reversal of 2222012122000 is 2212102222.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13270804 + ... + 13437196.

Almost surely, 22222012122000 is an apocalyptic number.

2222012122000 is a gapful number since it is divisible by the number (20) 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 2222012122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2935477688832).

2222012122000 is an abundant number, since it is smaller than the sum of its proper divisors (3648943255664).

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

2222012122000 is a wasteful number, since it uses less digits than its factorization.

2222012122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167034 (or 167018 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 2222012122000 its reverse (2212102222), we get a palindrome (2224224224222).

The spelling of 2222012122000 in words is "two trillion, two hundred twenty-two billion, twelve million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 607 880 1000 1100 1214 1375 2000 2200 2428 2750 3035 4400 4856 5500 6070 6677 9712 11000 12140 13354 15175 22000 24280 26708 30350 33385 48560 53416 60700 66770 75875 106832 121400 133540 151750 166393 166925 242800 267080 303500 332786 333850 534160 607000 665572 667700 831965 834625 1214000 1331144 1335400 1663930 1669250 1830323 2662288 2670800 3327860 3338500 3660646 4159825 6655720 6677000 7321292 8319650 9151615 13311440 13354000 14642584 16639300 18303230 20799125 29285168 33278600 36606460 41598250 45758075 66557200 73212920 83196500 91516150 101000551 146425840 166393000 183032300 202001102 228790375 332786000 366064600 404002204 457580750 505002755 732129200 808004408 915161500 1010005510 1111006061 1616008816 1830323000 2020011020 2222012122 2525013775 3660646000 4040022040 4444024244 5050027550 5555030305 8080044080 8888048488 10100055100 11110060610 12625068875 17776096976 20200110200 22220121220 25250137750 27775151525 40400220400 44440242440 50500275500 55550303050 88880484880 101000551000 111100606100 138875757625 202001102000 222201212200 277751515250 444402424400 555503030500 1111006061000 2222012122000