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2122020001200 = 2435211160759091
BaseRepresentation
bin11110111000010010001…
…111111001010110110000
321111212022020000011011210
4132320102033321112300
5234231344110014300
64302501553040120
7306211430254551
oct36702217712660
97455266004153
102122020001200
11748a41a73790
122a3318256040
1312514b0a9908
14749c61ba328
153a2ea497050
hex1ee123f95b0

2122020001200 has 120 divisors (see below), whose sum is σ = 7415495395776. Its totient is φ = 514429088000.

The previous prime is 2122020001187. The next prime is 2122020001207. The reversal of 2122020001200 is 21000202212.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2122020001207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80366346 + ... + 80392745.

Almost surely, 22122020001200 is an apocalyptic number.

2122020001200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122020001200 is an abundant number, since it is smaller than the sum of its proper divisors (5293475394576).

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

2122020001200 is a wasteful number, since it uses less digits than its factorization.

2122020001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160759123 (or 160759112 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2122020001200 its reverse (21000202212), we get a palindrome (2143020203412).

The spelling of 2122020001200 in words is "two trillion, one hundred twenty-two billion, twenty million, one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 132 150 165 176 200 220 240 264 275 300 330 400 440 528 550 600 660 825 880 1100 1200 1320 1650 2200 2640 3300 4400 6600 13200 160759091 321518182 482277273 643036364 803795455 964554546 1286072728 1607590910 1768350001 1929109092 2411386365 2572145456 3215181820 3536700002 3858218184 4018977275 4822772730 5305050003 6430363640 7073400004 7716436368 8037954550 8841750005 9645545460 10610100006 12056931825 12860727280 14146800008 16075909100 17683500010 19291090920 21220200012 24113863650 26525250015 28293600016 32151818200 35367000020 38582181840 42440400024 44208750025 48227727300 53050500030 64303636400 70734000040 84880800048 88417500050 96455454600 106101000060 132626250075 141468000080 176835000100 192910909200 212202000120 265252500150 353670000200 424404000240 530505000300 707340000400 1061010000600 2122020001200