| Base | Representation |
|---|---|
| bin | 1011000110110010010110… |
| … | …0011001101100011110100 |
| 3 | 1121020101022001112222010120 |
| 4 | 2301230211203031203310 |
| 5 | 3100032040313310400 |
| 6 | 41545431414451540 |
| 7 | 2400142315330101 |
| oct | 261544543154364 |
| 9 | 47211261488116 |
| 10 | 12211222010100 |
| 11 | 398882852a313 |
| 12 | 1452749663bb0 |
| 13 | 6a7689928a09 |
| 14 | 303052241aa8 |
| 15 | 162996689ca0 |
| hex | b1b258cd8f4 |
12211222010100 has 288 divisors, whose sum is σ = 36406115859456. Its totient is φ = 3157852262400.
The previous prime is 12211222010087. The next prime is 12211222010107. The reversal of 12211222010100 is 101022211221.
12211222010100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×122112220101002 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 12211222010100.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12211222010107) by changing a digit.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6127054704 + ... + 6127056696.
It is an arithmetic number, because the mean of its divisors is an integer number (126410124512).
Almost surely, 212211222010100 is an apocalyptic number.
12211222010100 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 12211222010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18203057929728).
12211222010100 is an abundant number, since it is smaller than the sum of its proper divisors (24194893849356).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12211222010100 is a wasteful number, since it uses less digits than its factorization.
12211222010100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3595 (or 3588 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 15.
Adding to 12211222010100 its reverse (101022211221), we get a palindrome (12312244221321).
The spelling of 12211222010100 in words is "twelve trillion, two hundred eleven billion, two hundred twenty-two million, ten thousand, one hundred".
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