| Base | Representation |
|---|---|
| bin | 1110100011101… |
| … | …00110010110000 |
| 3 | 22111202222211010 |
| 4 | 13101310302300 |
| 5 | 222230110300 |
| 6 | 20041150520 |
| 7 | 3011642106 |
| oct | 721646260 |
| 9 | 274688733 |
| 10 | 122113200 |
| 11 | 62a25500 |
| 12 | 34a8b440 |
| 13 | 1c3b6a41 |
| 14 | 12309c76 |
| 15 | aac1a50 |
| hex | 7474cb0 |
122113200 has 270 divisors, whose sum is σ = 445300492. Its totient is φ = 28582400.
The previous prime is 122113139. The next prime is 122113207. The reversal of 122113200 is 2311221.
It is a super-2 number, since 2×1221132002 = 29823267228480000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is not an unprimeable number, because it can be changed into a prime (122113207) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 4210786 + ... + 4210814.
Almost surely, 2122113200 is an apocalyptic number.
122113200 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 122113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222650246).
122113200 is an abundant number, since it is smaller than the sum of its proper divisors (323187292).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122113200 is a wasteful number, since it uses less digits than its factorization.
122113200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 101 (or 50 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 12.
The square root of 122113200 is about 11050.4841522894. The cubic root of 122113200 is about 496.1209165833.
Multiplying 122113200 by its sum of digits (12), we get a square (1465358400 = 382802).
122113200 divided by its sum of digits (12) gives a square (10176100 = 31902).
Adding to 122113200 its reverse (2311221), we get a palindrome (124424421).
The spelling of 122113200 in words is "one hundred twenty-two million, one hundred thirteen thousand, two hundred".
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