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2221012201200 = 2435213142372577
BaseRepresentation
bin100000010100011110101…
…001001010111011110000
321212022211011021221201120
4200110132221022323300
5242342113110414300
64420152515302240
7316314516134622
oct40243651127360
97768734257646
102221012201200
11786a20538821
122ba5445aa980
13131595b7aaa0
14796d745cc12
153cb90eae3a0
hex2051ea4aef0

2221012201200 has 120 divisors (see below), whose sum is σ = 7661922657648. Its totient is φ = 546710691840.

The previous prime is 2221012201169. The next prime is 2221012201211. The reversal of 2221012201200 is 21022101222.

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 2221012201200.

It is a congruent 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, 71170689 + ... + 71201888.

Almost surely, 22221012201200 is an apocalyptic number.

2221012201200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2221012201200 is an abundant number, since it is smaller than the sum of its proper divisors (5440910456448).

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

2221012201200 is a wasteful number, since it uses less digits than its factorization.

2221012201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142372611 (or 142372600 counting only the distinct ones).

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

Adding to 2221012201200 its reverse (21022101222), we get a palindrome (2242034302422).

It can be divided in two parts, 222101 and 2201200, that added together give a triangular number (2423301 = T2201).

The spelling of 2221012201200 in words is "two trillion, two hundred twenty-one billion, twelve million, two hundred one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 39 40 48 50 52 60 65 75 78 80 100 104 120 130 150 156 195 200 208 240 260 300 312 325 390 400 520 600 624 650 780 975 1040 1200 1300 1560 1950 2600 3120 3900 5200 7800 15600 142372577 284745154 427117731 569490308 711862885 854235462 1138980616 1423725770 1708470924 1850843501 2135588655 2277961232 2847451540 3416941848 3559314425 3701687002 4271177310 5552530503 5694903080 6833883696 7118628850 7403374004 8542354620 9254217505 10677943275 11105061006 11389806160 14237257700 14806748008 17084709240 18508435010 21355886550 22210122012 27762652515 28474515400 29613496016 34169418480 37016870020 42711773100 44420244024 46271087525 55525305030 56949030800 74033740040 85423546200 88840488048 92542175050 111050610060 138813262575 148067480080 170847092400 185084350100 222101220120 277626525150 370168700200 444202440240 555253050300 740337400400 1110506100600 2221012201200