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2212112201200 = 245211728369031
BaseRepresentation
bin100000001100001100001…
…010010111010111110000
321211110211220101002220221
4200030030022113113300
5242220401210414300
64412121425342424
7315551126316016
oct40141412272760
97743756332827
102212112201200
11783173739020
122b887ba97a14
131307a80412b5
14790d14388b6
153c81e98731a
hex2030c2975f0

2212112201200 has 120 divisors (see below), whose sum is σ = 5798625042816. Its totient is φ = 804282336000.

The previous prime is 2212112201179. The next prime is 2212112201203. The reversal of 2212112201200 is 21022112122.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212112201203) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 32010685 + ... + 32079715.

Almost surely, 22212112201200 is an apocalyptic number.

2212112201200 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 2212112201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2899312521408).

2212112201200 is an abundant number, since it is smaller than the sum of its proper divisors (3586512841616).

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

2212112201200 is a wasteful number, since it uses less digits than its factorization.

2212112201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76343 (or 76332 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2212112201200 its reverse (21022112122), we get a palindrome (2233134313322).

The spelling of 2212112201200 in words is "two trillion, two hundred twelve billion, one hundred twelve million, two hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 7283 14566 29132 36415 58264 69031 72830 80113 116528 138062 145660 160226 182075 276124 291320 320452 345155 364150 400565 552248 582640 640904 690310 728300 759341 801130 1104496 1281808 1380620 1456600 1518682 1602260 1725775 2002825 2761240 2913200 3037364 3204520 3451550 3796705 4005650 5522480 6074728 6409040 6903100 7593410 8011300 12149456 13806200 15186820 16022600 18983525 27612400 30373640 32045200 37967050 60747280 75934100 151868200 303736400 502752773 1005505546 2011011092 2513763865 4022022184 5027527730 5530280503 8044044368 10055055460 11060561006 12568819325 20110110920 22121122012 25137638650 27651402515 40220221840 44242244024 50275277300 55302805030 88484488048 100550554600 110605610060 138257012575 201101109200 221211220120 276514025150 442422440240 553028050300 1106056100600 2212112201200