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2012212001200 = 245219811326467
BaseRepresentation
bin11101010010000001001…
…011100111100110110000
321010100212111212210021211
4131102001023213212300
5230432002233014300
64140221502325504
7265243326542062
oct35220113474660
97110774783254
102012212001200
11706413242065
12285b91889894
1311799b5c589b
146d56a6d5732
15375201784ba
hex1d4812e79b0

2012212001200 has 120 divisors (see below), whose sum is σ = 5095068547520. Its totient is φ = 761579884800.

The previous prime is 2012212001101. The next prime is 2012212001279. The reversal of 2012212001200 is 21002122102.

It is a happy number.

It is an unprimeable number.

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, 6000367 + ... + 6326833.

Almost surely, 22012212001200 is an apocalyptic number.

2012212001200 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 2012212001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2547534273760).

2012212001200 is an abundant number, since it is smaller than the sum of its proper divisors (3082856546320).

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

2012212001200 is a wasteful number, since it uses less digits than its factorization.

2012212001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327315 (or 327304 counting only the distinct ones).

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

Adding to 2012212001200 its reverse (21002122102), we get a palindrome (2033214123302).

The spelling of 2012212001200 in words is "two trillion, twelve billion, two hundred twelve million, one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 152 190 200 304 380 400 475 760 811 950 1520 1622 1900 3244 3800 4055 6488 7600 8110 12976 15409 16220 20275 30818 32440 40550 61636 64880 77045 81100 123272 154090 162200 246544 308180 324400 326467 385225 616360 652934 770450 1232720 1305868 1540900 1632335 2611736 3081800 3264670 5223472 6163600 6202873 6529340 8161675 12405746 13058680 16323350 24811492 26117360 31014365 32646700 49622984 62028730 65293400 99245968 124057460 130586800 155071825 248114920 264764737 310143650 496229840 529529474 620287300 1059058948 1240574600 1323823685 2118117896 2481149200 2647647370 4236235792 5030530003 5295294740 6619118425 10061060006 10590589480 13238236850 20122120012 21181178960 25152650015 26476473700 40244240024 50305300030 52952947400 80488480048 100610600060 105905894800 125763250075 201221200120 251526500150 402442400240 503053000300 1006106000600 2012212001200