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2122012001200 = 245271358297033
BaseRepresentation
bin11110111000010001110…
…001011000001110110000
321111212021122221201020111
4132320101301120032300
5234231340033014300
64302501105351104
7306211302255130
oct36702161301660
97455248851214
102122012001200
11748a384aa213
122a3315638494
131251495384a0
14749c50d6ac0
153a2e99169ba
hex1ee11c583b0

2122012001200 has 120 divisors (see below), whose sum is σ = 6274626363488. Its totient is φ = 671581808640.

The previous prime is 2122012001189. The next prime is 2122012001203. The reversal of 2122012001200 is 21002102212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (2122012001203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29112117 + ... + 29184916.

Almost surely, 22122012001200 is an apocalyptic number.

2122012001200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122012001200 is an abundant number, since it is smaller than the sum of its proper divisors (4152614362288).

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

2122012001200 is a wasteful number, since it uses less digits than its factorization.

2122012001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58297071 (or 58297060 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2122012001200 its reverse (21002102212), we get a palindrome (2143014103412).

The spelling of 2122012001200 in words is "two trillion, one hundred twenty-two billion, twelve million, one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 25 26 28 35 40 50 52 56 65 70 80 91 100 104 112 130 140 175 182 200 208 260 280 325 350 364 400 455 520 560 650 700 728 910 1040 1300 1400 1456 1820 2275 2600 2800 3640 4550 5200 7280 9100 18200 36400 58297033 116594066 233188132 291485165 408079231 466376264 582970330 757861429 816158462 932752528 1165940660 1457425825 1515722858 1632316924 2040396155 2331881320 2914851650 3031445716 3264633848 3789307145 4080792310 4663762640 5305030003 5829703300 6062891432 6529267696 7578614290 8161584620 10201980775 10610060006 11659406600 12125782864 15157228580 16323169240 18946535725 20403961550 21220120012 23318813200 26525150015 30314457160 32646338480 37893071450 40807923100 42440240024 53050300030 60628914320 75786142900 81615846200 84880480048 106100600060 132625750075 151572285800 163231692400 212201200120 265251500150 303144571600 424402400240 530503000300 1061006000600 2122012001200