| Base | Representation |
|---|---|
| bin | 100100011001000… |
| … | …1101100000110100 |
| 3 | 10011002202102121110 |
| 4 | 1020302031200310 |
| 5 | 10000101401400 |
| 6 | 321100515020 |
| 7 | 42155236512 |
| oct | 11062154064 |
| 9 | 3132672543 |
| 10 | 1221122100 |
| 11 | 577323120 |
| 12 | 2a0b4ba70 |
| 13 | 165cab573 |
| 14 | b826b4b2 |
| 15 | 7230de50 |
| hex | 48c8d834 |
1221122100 has 288 divisors, whose sum is σ = 4041991296. Its totient is φ = 282009600.
The previous prime is 1221122099. The next prime is 1221122159. The reversal of 1221122100 is 12211221.
It is a super-2 number, since 2×12211221002 = 2982278366216820000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8913232 + ... + 8913368.
It is an arithmetic number, because the mean of its divisors is an integer number (14034692).
Almost surely, 21221122100 is an apocalyptic number.
1221122100 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 1221122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2020995648).
1221122100 is an abundant number, since it is smaller than the sum of its proper divisors (2820869196).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1221122100 is a wasteful number, since it uses less digits than its factorization.
1221122100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 275 (or 268 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 12.
The square root of 1221122100 is about 34944.5575161569. The cubic root of 1221122100 is about 1068.8572246308.
Adding to 1221122100 its reverse (12211221), we get a palindrome (1233333321).
1221122100 divided by its reverse (12211221) gives a square (100 = 102).
It can be divided in two parts, 1221 and 122100, that multiplied together give a square (149084100 = 122102).
The spelling of 1221122100 in words is "one billion, two hundred twenty-one million, one hundred twenty-two thousand, one hundred".
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