Base | Representation |
---|---|
bin | 1110100011101… |
… | …00100001100100 |
3 | 22111202221022101 |
4 | 13101310201210 |
5 | 222230041400 |
6 | 20041141444 |
7 | 3011635645 |
oct | 721644144 |
9 | 274687271 |
10 | 122112100 |
11 | 62a246a0 |
12 | 34a8a884 |
13 | 1c3b63a6 |
14 | 123096cc |
15 | aac156a |
hex | 7474864 |
122112100 has 72 divisors (see below), whose sum is σ = 298480896. Its totient is φ = 42960000.
The previous prime is 122112061. The next prime is 122112113. The reversal of 122112100 is 1211221.
It is a super-2 number, since 2×1221121002 = 29822729932820000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (10).
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32310 + ... + 35890.
It is an arithmetic number, because the mean of its divisors is an integer number (4145568).
Almost surely, 2122112100 is an apocalyptic number.
122112100 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 122112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149240448).
122112100 is an abundant number, since it is smaller than the sum of its proper divisors (176368796).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122112100 is a wasteful number, since it uses less digits than its factorization.
122112100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3637 (or 3630 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 10.
The square root of 122112100 is about 11050.4343806024. The cubic root of 122112100 is about 496.1194268872.
Adding to 122112100 its reverse (1211221), we get a palindrome (123323321).
It can be divided in two parts, 12 and 2112100, that added together give a palindrome (2112112).
The spelling of 122112100 in words is "one hundred twenty-two million, one hundred twelve thousand, one hundred".
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