| Base | Representation |
|---|---|
| bin | 111001010101010100… |
| … | …0111000000000000000 |
| 3 | 102202210120121220001200 |
| 4 | 1302222220320000000 |
| 5 | 4004123203114034 |
| 6 | 132321134101200 |
| 7 | 11616035050620 |
| oct | 1625250700000 |
| 9 | 382716556050 |
| 10 | 123121926144 |
| 11 | 48241132478 |
| 12 | 1ba4134a800 |
| 13 | b7c1c1b449 |
| 14 | 5d5dc0a880 |
| 15 | 33090d0a99 |
| hex | 1caaa38000 |
123121926144 has 768 divisors, whose sum is σ = 443834476800. Its totient is φ = 32105299968.
The previous prime is 123121926143. The next prime is 123121926223. The reversal of 123121926144 is 441629121321.
123121926144 is a `hidden beast` number, since 1 + 2 + 31 + 2 + 1 + 9 + 2 + 614 + 4 = 666.
It is a tau number, because it is divible by the number of its divisors (768).
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 = 123121926099 and 123121926108.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (123121926143) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1686601692 + ... + 1686601764.
It is an arithmetic number, because the mean of its divisors is an integer number (577909475).
Almost surely, 2123121926144 is an apocalyptic number.
123121926144 is a gapful number since it is divisible by the number (14) 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 123121926144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221917238400).
123121926144 is an abundant number, since it is smaller than the sum of its proper divisors (320712550656).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123121926144 is an equidigital number, since it uses as much as digits as its factorization.
123121926144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 178 (or 147 counting only the distinct ones).
The product of its digits is 20736, while the sum is 36.
The spelling of 123121926144 in words is "one hundred twenty-three billion, one hundred twenty-one million, nine hundred twenty-six thousand, one hundred forty-four".
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