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12032030002120 = 235292357670333
BaseRepresentation
bin1010111100010110110011…
…0111111100101111001000
31120121020202212011210120021
42233011230313330233020
53034113044140031440
641331234400110224
72351166630360622
oct257055467745710
946536685153507
1012032030002120
113919834297537
121423a7a605374
13693800504c6b
142d84d3891c12
1515cea9d8684a
hexaf16cdfcbc8

12032030002120 has 48 divisors (see below), whose sum is σ = 28037777482260. Its totient is φ = 4646852953344.

The previous prime is 12032030002079. The next prime is 12032030002123. The reversal of 12032030002120 is 2120003023021.

It can be written as a sum of positive squares in 6 ways, for example, as 6106009029156 + 5926020972964 = 2471034^2 + 2434342^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12032030002094 and 12032030002103.

It is not an unprimeable number, because it can be changed into a prime (12032030002123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 178801527 + ... + 178868806.

Almost surely, 212032030002120 is an apocalyptic number.

12032030002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12032030002120 is an abundant number, since it is smaller than the sum of its proper divisors (16005747480140).

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

12032030002120 is a wasteful number, since it uses less digits than its factorization.

12032030002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357670402 (or 357670369 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 12032030002120 its reverse (2120003023021), we get a palindrome (14152033025141).

The spelling of 12032030002120 in words is "twelve trillion, thirty-two billion, thirty million, two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 841 1160 1682 3364 4205 6728 8410 16820 33640 357670333 715340666 1430681332 1788351665 2861362664 3576703330 7153406660 10372439657 14306813320 20744879314 41489758628 51862198285 82979517256 103724396570 207448793140 300800750053 414897586280 601601500106 1203203000212 1504003750265 2406406000424 3008007500530 6016015001060 12032030002120