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12010200012100 = 2252120102000121
BaseRepresentation
bin1010111011000101011110…
…1101001001010101000100
31120112011102111012101221101
42232301113231021111010
53033233342200341400
641313224255425444
72346464644462063
oct256612755112504
946464374171841
1012010200012100
11391055188a974
12141b7a7825284
136917319699c4
142d74225281da
1515c62d63b56a
hexaec57b49544

12010200012100 has 18 divisors (see below), whose sum is σ = 26062134026474. Its totient is φ = 4804080004800.

The previous prime is 12010200012077. The next prime is 12010200012121. The reversal of 12010200012100 is 121000201021.

12010200012100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 34835236164 + 11975364775936 = 186642^2 + 3460544^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 60050999961 + ... + 60051000160.

Almost surely, 212010200012100 is an apocalyptic number.

12010200012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12010200012100 is an abundant number, since it is smaller than the sum of its proper divisors (14051934014374).

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

12010200012100 is a wasteful number, since it uses less digits than its factorization.

12010200012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120102000135 (or 120102000128 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12010200012100 its reverse (121000201021), we get a palindrome (12131200213121).

The spelling of 12010200012100 in words is "twelve trillion, ten billion, two hundred million, twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 120102000121 240204000242 480408000484 600510000605 1201020001210 2402040002420 3002550003025 6005100006050 12010200012100