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2222112001122 = 23313101277113143
BaseRepresentation
bin100000010101100000001…
…100100100110001100010
321212102122210202120121000
4200111200030210301202
5242401341133013442
64420454004012430
7316354002235446
oct40254014446142
97772583676530
102222112001122
11787435326782
122ba7b0991116
1313170c98b680
147979d548826
153cc07805d4c
hex20560324c62

2222112001122 has 128 divisors (see below), whose sum is σ = 5389962923520. Its totient is φ = 674507347200.

The previous prime is 2222112001117. The next prime is 2222112001229. The reversal of 2222112001122 is 2211002112222.

It is a happy number.

2222112001122 is a `hidden beast` number, since 222 + 211 + 200 + 11 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2222112001095 and 2222112001104.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19583283 + ... + 19696425.

It is an arithmetic number, because the mean of its divisors is an integer number (42109085340).

Almost surely, 22222112001122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2222112001122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2694981461760).

2222112001122 is an abundant number, since it is smaller than the sum of its proper divisors (3167850922398).

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

2222112001122 is a wasteful number, since it uses less digits than its factorization.

2222112001122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113545 (or 113539 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2222112001122 its reverse (2211002112222), we get a palindrome (4433114113344).

The spelling of 2222112001122 in words is "two trillion, two hundred twenty-two billion, one hundred twelve million, one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 101 117 202 234 277 303 351 554 606 702 831 909 1313 1662 1818 2493 2626 2727 3601 3939 4986 5454 7202 7479 7878 10803 11817 14958 21606 23634 27977 32409 35451 55954 64818 70902 83931 97227 113143 167862 194454 226286 251793 339429 363701 503586 678858 727402 755379 1018287 1091103 1470859 1510758 2036574 2182206 2941718 3054861 3273309 4412577 6109722 6546618 8825154 9819927 11427443 13237731 19639854 22854886 26475462 31340611 34282329 39713193 62681222 68564658 79426386 94021833 102846987 148556759 188043666 205693974 282065499 297113518 308540961 407427943 445670277 564130998 617081922 814855886 846196497 891340554 1222283829 1337010831 1692392994 2444567658 2674021662 3165401711 3666851487 4011032493 6330803422 7333702974 8022064986 9496205133 11000554461 18992410266 22001108922 28488615399 41150222243 56977230798 82300444486 85465846197 123450666729 170931692394 246901333458 370352000187 740704000374 1111056000561 2222112001122