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2122221102012 = 2233112182389083
BaseRepresentation
bin11110111000011110001…
…111000010001110111100
321111212211020102010122000
4132320132033002032330
5234232302100231022
64302533535222300
7306216421505364
oct36703617021674
97455736363560
102122221102012
11749035538800
122a3373677990
1312518095ac8b
1474a04ba79a4
153a30ce6c6ac
hex1ee1e3c23bc

2122221102012 has 144 divisors (see below), whose sum is σ = 6051098403840. Its totient is φ = 642737319840.

The previous prime is 2122221101999. The next prime is 2122221102017. The reversal of 2122221102012 is 2102011222212.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122221102017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23778423 + ... + 23867505.

Almost surely, 22122221102012 is an apocalyptic number.

2122221102012 is a gapful number since it is divisible by the number (22) 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 2122221102012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3025549201920).

2122221102012 is an abundant number, since it is smaller than the sum of its proper divisors (3928877301828).

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

2122221102012 is a wasteful number, since it uses less digits than its factorization.

2122221102012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90941 (or 90922 counting only the distinct ones).

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

Adding to 2122221102012 its reverse (2102011222212), we get a palindrome (4224232324224).

The spelling of 2122221102012 in words is "two trillion, one hundred twenty-two billion, two hundred twenty-one million, one hundred two thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 121 132 198 242 297 363 396 484 594 726 1089 1188 1452 1823 2178 3267 3646 4356 5469 6534 7292 10938 13068 16407 20053 21876 32814 40106 49221 60159 65628 80212 89083 98442 120318 178166 180477 196884 220583 240636 267249 356332 360954 441166 534498 541431 661749 721908 801747 882332 979913 1068996 1082862 1323498 1603494 1959826 1985247 2165724 2405241 2646996 2939739 3206988 3919652 3970494 4810482 5879478 5955741 7940988 8819217 9620964 10779043 11758956 11911482 17638434 21558086 23822964 26457651 32337129 35276868 43116172 52915302 64674258 97011387 105830604 129348516 162398309 194022774 291034161 324796618 388045548 487194927 582068322 649593236 974389854 1164136644 1461584781 1786381399 1948779708 2923169562 3572762798 4384754343 5359144197 5846339124 7145525596 8769508686 10718288394 16077432591 17539017372 19650195389 21436576788 32154865182 39300390778 48232297773 58950586167 64309730364 78600781556 96464595546 117901172334 176851758501 192929191092 235802344668 353703517002 530555275503 707407034004 1061110551006 2122221102012