| Base | Representation |
|---|---|
| bin | 1110100100010… |
| … | …00010000100000 |
| 3 | 22111221001012000 |
| 4 | 13102020100200 |
| 5 | 222240133203 |
| 6 | 20043004000 |
| 7 | 3012423414 |
| oct | 722102040 |
| 9 | 274831160 |
| 10 | 122192928 |
| 11 | 62a7a3a0 |
| 12 | 34b09600 |
| 13 | 1c414110 |
| 14 | 1232ad44 |
| 15 | aada4a3 |
| hex | 7488420 |
122192928 has 384 divisors, whose sum is σ = 447068160. Its totient is φ = 31933440.
The previous prime is 122192899. The next prime is 122192929. The reversal of 122192928 is 829291221.
It is a super-2 number, since 2×1221929282 = 29862223306426368, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 122192892 and 122192901.
It is not an unprimeable number, because it can be changed into a prime (122192929) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2841675 + ... + 2841717.
It is an arithmetic number, because the mean of its divisors is an integer number (1164240).
Almost surely, 2122192928 is an apocalyptic number.
122192928 is a gapful number since it is divisible by the number (18) 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 122192928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223534080).
122192928 is an abundant number, since it is smaller than the sum of its proper divisors (324875232).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122192928 is a wasteful number, since it uses less digits than its factorization.
122192928 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 109 (or 95 counting only the distinct ones).
The product of its digits is 10368, while the sum is 36.
The square root of 122192928 is about 11054.0910074054. The cubic root of 122192928 is about 496.2288659371.
It can be divided in two parts, 1221 and 92928, that added together give a palindrome (94149).
The spelling of 122192928 in words is "one hundred twenty-two million, one hundred ninety-two thousand, nine hundred twenty-eight".
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