| Base | Representation |
|---|---|
| bin | 1011000001100010101110… |
| … | …1101011001111000100100 |
| 3 | 1120220202202110111002122200 |
| 4 | 2300120223231121320210 |
| 5 | 3042043034021011400 |
| 6 | 41440212024254500 |
| 7 | 2360502632545416 |
| oct | 260305355317044 |
| 9 | 46822673432580 |
| 10 | 12121131032100 |
| 11 | 39535a751a0a2 |
| 12 | 14391a6311430 |
| 13 | 69c0300015cc |
| 14 | 2dc9472209b6 |
| 15 | 16047233bb00 |
| hex | b062bb59e24 |
12121131032100 has 216 divisors, whose sum is σ = 38622149977320. Its totient is φ = 3178794240000.
The previous prime is 12121131032057. The next prime is 12121131032119. The reversal of 12121131032100 is 123013112121.
12121131032100 is a `hidden beast` number, since 1 + 21 + 2 + 11 + 310 + 321 + 0 + 0 = 666.
It can be written as a sum of positive squares in 12 ways, for example, as 8138136918564 + 3982994113536 = 2852742^2 + 1995744^2 .
It is a super-2 number, since 2×121211310321002 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is an unprimeable number.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 429798000 + ... + 429826200.
It is an arithmetic number, because the mean of its divisors is an integer number (178806249895).
Almost surely, 212121131032100 is an apocalyptic number.
12121131032100 is a gapful number since it is divisible by the number (10) 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 12121131032100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19311074988660).
12121131032100 is an abundant number, since it is smaller than the sum of its proper divisors (26501018945220).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12121131032100 is a wasteful number, since it uses less digits than its factorization.
12121131032100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 36111 (or 36101 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 18.
Adding to 12121131032100 its reverse (123013112121), we get a palindrome (12244144144221).
The spelling of 12121131032100 in words is "twelve trillion, one hundred twenty-one billion, one hundred thirty-one million, thirty-two thousand, one hundred".
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