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200100121020120 = 23356732477713237
BaseRepresentation
bin101101011111110101110000…
…101000100000011011011000
3222020111101101110222212012210
4231133311300220200123120
5202211420021440120440
61545324420534235120
760101520352043406
oct5537656050403330
9866441343885183
10200100121020120
1158837a91797682
121a5388b17b5aa0
13878648bb91959
14375ac7cb88476
1518200e3c31a80
hexb5fd70a206d8

200100121020120 has 64 divisors (see below), whose sum is σ = 601192340068320. Its totient is φ = 53280745426944.

The previous prime is 200100121020109. The next prime is 200100121020157. The reversal of 200100121020120 is 21020121001002.

200100121020120 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 200100121020096 and 200100121020105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1238775859 + ... + 1238937378.

Almost surely, 2200100121020120 is an apocalyptic number.

200100121020120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200100121020120 is an abundant number, since it is smaller than the sum of its proper divisors (401092219048200).

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

200100121020120 is a wasteful number, since it uses less digits than its factorization.

200100121020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2477713924 (or 2477713920 counting only the distinct ones).

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

Adding to 200100121020120 its reverse (21020121001002), we get a palindrome (221120242021122).

The spelling of 200100121020120 in words is "two hundred trillion, one hundred billion, one hundred twenty-one million, twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 673 1346 2019 2692 3365 4038 5384 6730 8076 10095 13460 16152 20190 26920 40380 80760 2477713237 4955426474 7433139711 9910852948 12388566185 14866279422 19821705896 24777132370 29732558844 37165698555 49554264740 59465117688 74331397110 99108529480 148662794220 297325588440 1667501008501 3335002017002 5002503025503 6670004034004 8337505042505 10005006051006 13340008068008 16675010085010 20010012102012 25012515127515 33350020170020 40020024204024 50025030255030 66700040340040 100050060510060 200100121020120