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20211202011200 = 265220896046913
BaseRepresentation
bin1001001100001110010011…
…00001000011000001000000
32122120011122102022022122212
410212013021201003001000
510122120020203324300
6110552521550121252
74154132266343444
oct446071141030100
978504572268585
1020211202011200
1164925826a3032
1223250967b0228
13b37ba633a0b5
144dc327d96824
15250b1699e935
hex1261c9843040

20211202011200 has 84 divisors (see below), whose sum is σ = 49756003873620. Its totient is φ = 8080609443840.

The previous prime is 20211202011193. The next prime is 20211202011241. The reversal of 20211202011200 is 211020211202.

It can be written as a sum of positive squares in 6 ways, for example, as 2365071424 + 20208836939776 = 48632^2 + 4495424^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 318944 + ... + 6365856.

Almost surely, 220211202011200 is an apocalyptic number.

20211202011200 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 20211202011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24878001936810).

20211202011200 is an abundant number, since it is smaller than the sum of its proper divisors (29544801862420).

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

20211202011200 is a wasteful number, since it uses less digits than its factorization.

20211202011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6049024 (or 6049009 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 20211202011200 its reverse (211020211202), we get a palindrome (20422222222402).

The spelling of 20211202011200 in words is "twenty trillion, two hundred eleven billion, two hundred two million, eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 2089 4178 8356 10445 16712 20890 33424 41780 52225 66848 83560 104450 133696 167120 208900 334240 417800 668480 835600 1671200 3342400 6046913 12093826 24187652 30234565 48375304 60469130 96750608 120938260 151172825 193501216 241876520 302345650 387002432 483753040 604691300 967506080 1209382600 1935012160 2418765200 4837530400 9675060800 12632001257 25264002514 50528005028 63160006285 101056010056 126320012570 202112020112 252640025140 315800031425 404224040224 505280050280 631600062850 808448080448 1010560100560 1263200125700 2021120201120 2526400251400 4042240402240 5052800502800 10105601005600 20211202011200