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21000201121200 = 2435272500023943
BaseRepresentation
bin1001100011001011111011…
…00001110010110110110000
32202100121012010022221120010
410301211331201302312300
510223031402441334300
6112355205331214520
74265133363205050
oct461457541626660
982317163287503
1021000201121200
1167671540712a4
122431b90a47440
13b94406139cb2
145285b5299560
152663e40c8a50
hex13197d872db0

21000201121200 has 120 divisors (see below), whose sum is σ = 76880736325888. Its totient is φ = 4800045968640.

The previous prime is 21000201121129. The next prime is 21000201121201. The reversal of 21000201121200 is 212110200012.

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 (21000201121201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1250003572 + ... + 1250020371.

Almost surely, 221000201121200 is an apocalyptic number.

21000201121200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21000201121200 is an abundant number, since it is smaller than the sum of its proper divisors (55880535204688).

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

21000201121200 is a wasteful number, since it uses less digits than its factorization.

21000201121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2500023971 (or 2500023960 counting only the distinct ones).

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

Adding to 21000201121200 its reverse (212110200012), we get a palindrome (21212311321212).

The spelling of 21000201121200 in words is "twenty-one trillion, two hundred one million, one hundred twenty-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 2500023943 5000047886 7500071829 10000095772 12500119715 15000143658 17500167601 20000191544 25000239430 30000287316 35000335202 37500359145 40000383088 50000478860 52500502803 60000574632 62500598575 70000670404 75000718290 87500838005 100000957720 105001005606 120001149264 125001197150 140001340808 150001436580 175001676010 187501795725 200001915440 210002011212 250002394300 262502514015 280002681616 300002873160 350003352020 375003591450 420004022424 437504190025 500004788600 525005028030 600005746320 700006704040 750007182900 840008044848 875008380050 1000009577200 1050010056060 1312512570075 1400013408080 1500014365800 1750016760100 2100020112120 2625025140150 3000028731600 3500033520200 4200040224240 5250050280300 7000067040400 10500100560600 21000201121200