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2122212001200 = 2435215791120019
BaseRepresentation
bin11110111000011101101…
…100010100010110110000
321111212210121021202122220
4132320131230110112300
5234232242233014300
64302533012201040
7306216251242404
oct36703554242660
97455717252586
102122212001200
11749030392175
122a3370609180
1312517bac2795
1474a038b9104
153a30c270da0
hex1ee1db145b0

2122212001200 has 120 divisors (see below), whose sum is σ = 6802463870400. Its totient is φ = 565564289280.

The previous prime is 2122212001199. The next prime is 2122212001369. The reversal of 2122212001200 is 21002122212.

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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2122212001200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1334791 + ... + 2454809.

It is an arithmetic number, because the mean of its divisors is an integer number (56687198920).

Almost surely, 22122212001200 is an apocalyptic number.

2122212001200 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 2122212001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3401231935200).

2122212001200 is an abundant number, since it is smaller than the sum of its proper divisors (4680251869200).

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

2122212001200 is a wasteful number, since it uses less digits than its factorization.

2122212001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121619 (or 1121608 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2122212001200 its reverse (21002122212), we get a palindrome (2143214123412).

The spelling of 2122212001200 in words is "two trillion, one hundred twenty-two billion, two hundred twelve million, one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 1579 3158 4737 6316 7895 9474 12632 15790 18948 23685 25264 31580 37896 39475 47370 63160 75792 78950 94740 118425 126320 157900 189480 236850 315800 378960 473700 631600 947400 1120019 1894800 2240038 3360057 4480076 5600095 6720114 8960152 11200190 13440228 16800285 17920304 22400380 26880456 28000475 33600570 44800760 53760912 56000950 67201140 84001425 89601520 112001900 134402280 168002850 224003800 268804560 336005700 448007600 672011400 1344022800 1768510001 3537020002 5305530003 7074040004 8842550005 10611060006 14148080008 17685100010 21222120012 26527650015 28296160016 35370200020 42444240024 44212750025 53055300030 70740400040 84888480048 88425500050 106110600060 132638250075 141480800080 176851000100 212221200120 265276500150 353702000200 424442400240 530553000300 707404000400 1061106000600 2122212001200