| Base | Representation |
|---|---|
| bin | 111111001111101… |
| … | …0001010100001000 |
| 3 | 12110220011012102111 |
| 4 | 1332133101110020 |
| 5 | 13321231022400 |
| 6 | 550324312104 |
| 7 | 103405531006 |
| oct | 17637212410 |
| 9 | 5426135374 |
| 10 | 2122126600 |
| 11 | 999981140 |
| 12 | 4b2842634 |
| 13 | 27a867219 |
| 14 | 161ba9a76 |
| 15 | c64883ba |
| hex | 7e7d1508 |
2122126600 has 96 divisors (see below), whose sum is σ = 5395458240. Its totient is φ = 769824000.
The previous prime is 2122126561. The next prime is 2122126603. The reversal of 2122126600 is 66212212.
2122126600 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (22).
It is not an unprimeable number, because it can be changed into a prime (2122126603) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1189309 + ... + 1191091.
It is an arithmetic number, because the mean of its divisors is an integer number (56202690).
Almost surely, 22122126600 is an apocalyptic number.
2122126600 is a gapful number since it is divisible by the number (20) 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 2122126600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2697729120).
2122126600 is an abundant number, since it is smaller than the sum of its proper divisors (3273331640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2122126600 is a wasteful number, since it uses less digits than its factorization.
2122126600 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2351 (or 2342 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 22.
The square root of 2122126600 is about 46066.5453447510. The cubic root of 2122126600 is about 1285.0610578264.
Adding to 2122126600 its reverse (66212212), we get a palindrome (2188338812).
It can be divided in two parts, 212212 and 6600, that added together give a palindrome (218812).
The spelling of 2122126600 in words is "two billion, one hundred twenty-two million, one hundred twenty-six thousand, six hundred".
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