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202001201121200 = 245213184512105381
BaseRepresentation
bin101101111011100000010001…
…110101100100011110110000
3222111020010102000121012001212
4231323200101311210132300
5202434041424441334300
61553342023134415252
760356051034220625
oct5573402165443660
9874203360535055
10202001201121200
1159400256966288
121a7a5229661528
13889382961ab50
1437c4ca5c1634c
1518547ac729935
hexb7b811d647b0

202001201121200 has 120 divisors (see below), whose sum is σ = 522667835565456. Its totient is φ = 74580981120000.

The previous prime is 202001201121173. The next prime is 202001201121227. The reversal of 202001201121200 is 2121102100202.

202001201121200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (202001201121173) and next prime (202001201121227).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94892510 + ... + 96997890.

Almost surely, 2202001201121200 is an apocalyptic number.

202001201121200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202001201121200 is an abundant number, since it is smaller than the sum of its proper divisors (320666634444256).

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

202001201121200 is a wasteful number, since it uses less digits than its factorization.

202001201121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2123863 (or 2123852 counting only the distinct ones).

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

Adding to 202001201121200 its reverse (2121102100202), we get a palindrome (204122303221402).

The spelling of 202001201121200 in words is "two hundred two trillion, one billion, two hundred one million, one hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 520 650 1040 1300 2600 5200 18451 36902 73804 92255 147608 184510 239863 295216 369020 461275 479726 738040 922550 959452 1199315 1476080 1845100 1918904 2105381 2398630 3690200 3837808 4210762 4797260 5996575 7380400 8421524 9594520 10526905 11993150 16843048 19189040 21053810 23986300 27369953 33686096 42107620 47972600 52634525 54739906 84215240 95945200 105269050 109479812 136849765 168430480 210538100 218959624 273699530 421076200 437919248 547399060 684248825 842152400 1094798120 1368497650 2189596240 2736995300 5473990600 10947981200 38846384831 77692769662 155385539324 194231924155 310771078648 388463848310 505003002803 621542157296 776927696620 971159620775 1010006005606 1553855393240 1942319241550 2020012011212 2525015014015 3107710786480 3884638483100 4040024022424 5050030028030 7769276966200 8080048044848 10100060056060 12625075070075 15538553932400 20200120112120 25250150140150 40400240224240 50500300280300 101000600560600 202001201121200