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120212120200 = 2352601060601
BaseRepresentation
bin110111111110100110…
…0110110001010001000
3102111021210022102201011
41233331030312022020
53432143300321300
6131120310533304
711453653106434
oct1577514661210
9374253272634
10120212120200
1146a88676177
121b36a967234
13b44a126293
145b655a19c4
1531d8905eba
hex1bfd336288

120212120200 has 24 divisors (see below), whose sum is σ = 279493179930. Its totient is φ = 48084848000.

The previous prime is 120212120123. The next prime is 120212120201. The reversal of 120212120200 is 2021212021.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 105961968324 + 14250151876 = 325518^2 + 119374^2 .

It is not an unprimeable number, because it can be changed into a prime (120212120201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 300530101 + ... + 300530500.

Almost surely, 2120212120200 is an apocalyptic number.

120212120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120212120200 is an abundant number, since it is smaller than the sum of its proper divisors (159281059730).

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

120212120200 is a wasteful number, since it uses less digits than its factorization.

120212120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601060617 (or 601060608 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 120212120200 its reverse (2021212021), we get a palindrome (122233332221).

The spelling of 120212120200 in words is "one hundred twenty billion, two hundred twelve million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 601060601 1202121202 2404242404 3005303005 4808484808 6010606010 12021212020 15026515025 24042424040 30053030050 60106060100 120212120200