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200120002001200 = 24521750035882353
BaseRepresentation
bin101101100000001000010001…
…101000011011100100110000
3222020120021201000120100012101
4231200020101220123210300
5202212231231003014300
61545341505412510144
760103123130433361
oct5540102150334460
9866507630510171
10200120002001200
1158845464014a56
121a54071b91b354
1387883099c7098
14375bc0732bb68
1518208a92dcb6a
hexb60211a1b930

200120002001200 has 120 divisors (see below), whose sum is σ = 509171809297968. Its totient is φ = 75324223242240.

The previous prime is 200120002001177. The next prime is 200120002001203. The reversal of 200120002001200 is 2100200021002.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (200120002001203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31079224 + ... + 36961576.

Almost surely, 2200120002001200 is an apocalyptic number.

200120002001200 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 200120002001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254585904648984).

200120002001200 is an abundant number, since it is smaller than the sum of its proper divisors (309051807296768).

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

200120002001200 is a wasteful number, since it uses less digits than its factorization.

200120002001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5887391 (or 5887380 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 200120002001200 its reverse (2100200021002), we get a palindrome (202220202022202).

The spelling of 200120002001200 in words is "two hundred trillion, one hundred twenty billion, two million, one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 136 170 200 272 340 400 425 680 850 1360 1700 3400 5003 6800 10006 20012 25015 40024 50030 80048 85051 100060 125075 170102 200120 250150 340204 400240 425255 500300 680408 850510 1000600 1360816 1701020 2001200 2126275 3402040 4252550 5882353 6804080 8505100 11764706 17010200 23529412 29411765 34020400 47058824 58823530 94117648 100000001 117647060 147058825 200000002 235294120 294117650 400000004 470588240 500000005 588235300 800000008 1000000010 1176470600 1600000016 2000000020 2352941200 2500000025 4000000040 5000000050 8000000080 10000000100 20000000200 29429412059 40000000400 58858824118 117717648236 147147060295 235435296472 294294120590 470870592944 500300005003 588588241180 735735301475 1000600010006 1177176482360 1471470602950 2001200020012 2354352964720 2501500025015 2942941205900 4002400040024 5003000050030 5885882411800 8004800080048 10006000100060 11771764823600 12507500125075 20012000200120 25015000250150 40024000400240 50030000500300 100060001000600 200120002001200