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2021121001200 = 243527240609643
BaseRepresentation
bin11101011010010100001…
…100110000011011110000
321011012212101201212202210
4131122110030300123300
5231103223434014300
64144253513212120
7266010156024030
oct35322414603360
97135771655683
102021121001200
1170a175129684
12287859401040
1311878b263a12
146db739bd8c0
153789237c050
hex1d6943306f0

2021121001200 has 120 divisors (see below), whose sum is σ = 7399227772288. Its totient is φ = 461970512640.

The previous prime is 2021121001117. The next prime is 2021121001217. The reversal of 2021121001200 is 21001211202.

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 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, 120296422 + ... + 120313221.

Almost surely, 22021121001200 is an apocalyptic number.

2021121001200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2021121001200 is an abundant number, since it is smaller than the sum of its proper divisors (5378106771088).

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

2021121001200 is a wasteful number, since it uses less digits than its factorization.

2021121001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240609671 (or 240609660 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2021121001200 its reverse (21001211202), we get a palindrome (2042122212402).

The spelling of 2021121001200 in words is "two trillion, twenty-one billion, one hundred twenty-one million, one thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 140 150 168 175 200 210 240 280 300 336 350 400 420 525 560 600 700 840 1050 1200 1400 1680 2100 2800 4200 8400 240609643 481219286 721828929 962438572 1203048215 1443657858 1684267501 1924877144 2406096430 2887315716 3368535002 3609144645 3849754288 4812192860 5052802503 5774631432 6015241075 6737070004 7218289290 8421337505 9624385720 10105605006 11549262864 12030482150 13474140008 14436578580 16842675010 18045723225 19248771440 20211210012 24060964300 25264012515 26948280016 28873157160 33685350020 36091446450 40422420024 42106687525 48121928600 50528025030 57746314320 67370700040 72182892900 80844840048 84213375050 96243857200 101056050060 126320062575 134741400080 144365785800 168426750100 202112100120 252640125150 288731571600 336853500200 404224200240 505280250300 673707000400 1010560500600 2021121001200