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2200122202012 = 2272329593198659
BaseRepresentation
bin100000000001000001100…
…000001001011110011100
321210022220022002001002221
4200001001200021132130
5242021322240431022
64402415554155124
7314645036104120
oct40010140113634
97708808061087
102200122202012
11779080698189
122b6494582aa4
1312c616c9b817
14786b4ca1580
153c36c03ecc7
hex2004180979c

2200122202012 has 96 divisors (see below), whose sum is σ = 4757922892800. Its totient is φ = 869340122112.

The previous prime is 2200122202009. The next prime is 2200122202021. The reversal of 2200122202012 is 2102022210022.

It is a super-2 number, since 2×22001222020122 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10975539 + ... + 11174197.

It is an arithmetic number, because the mean of its divisors is an integer number (49561696800).

Almost surely, 22200122202012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2200122202012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2378961446400).

2200122202012 is an abundant number, since it is smaller than the sum of its proper divisors (2557800690788).

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

2200122202012 is a wasteful number, since it uses less digits than its factorization.

2200122202012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199315 (or 199313 counting only the distinct ones).

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

Adding to 2200122202012 its reverse (2102022210022), we get a palindrome (4302144412034).

The spelling of 2200122202012 in words is "two trillion, two hundred billion, one hundred twenty-two million, two hundred two thousand, twelve".

Divisors: 1 2 4 7 14 23 28 29 46 58 92 116 161 203 322 406 593 644 667 812 1186 1334 2372 2668 4151 4669 8302 9338 13639 16604 17197 18676 27278 34394 54556 68788 95473 120379 190946 198659 240758 381892 395531 397318 481516 791062 794636 1390613 1582124 2768717 2781226 4569157 5537434 5562452 5761111 9138314 11074868 11522222 18276628 23044444 31984099 40327777 63968198 80655554 117804787 127936396 132505553 161311108 235609574 265011106 471219148 530022212 824633509 927538871 1649267018 1855077742 2709510101 3298534036 3416338823 3710155484 5419020202 6832677646 10838040404 13665355292 18966570707 23914371761 37933141414 47828743522 75866282828 78575792929 95657487044 157151585858 314303171716 550030550503 1100061101006 2200122202012