| Base | Representation |
|---|---|
| bin | 111001010100111101… |
| … | …1111000011000000000 |
| 3 | 102202202202102122102220 |
| 4 | 1302221323320120000 |
| 5 | 4004112143144300 |
| 6 | 132320033211040 |
| 7 | 11615532564210 |
| oct | 1625173703000 |
| 9 | 382682378386 |
| 10 | 123110131200 |
| 11 | 48235506791 |
| 12 | 1ba39400a80 |
| 13 | b7bc64b8a4 |
| 14 | 5d5c41a240 |
| 15 | 3308050da0 |
| hex | 1ca9ef8600 |
123110131200 has 480 divisors, whose sum is σ = 485017099776. Its totient is φ = 26914652160.
The previous prime is 123110131163. The next prime is 123110131237. The reversal of 123110131200 is 2131011321.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (123110131163) and next prime (123110131237).
It is a tau number, because it is divible by the number of its divisors (480).
It is a super-2 number, since 2×1231101312002 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 123110131200.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6172444 + ... + 6192356.
Almost surely, 2123110131200 is an apocalyptic number.
123110131200 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 123110131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242508549888).
123110131200 is an abundant number, since it is smaller than the sum of its proper divisors (361906968576).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123110131200 is a wasteful number, since it uses less digits than its factorization.
123110131200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 19974 (or 19953 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 15.
Adding to 123110131200 its reverse (2131011321), we get a palindrome (125241142521).
The spelling of 123110131200 in words is "one hundred twenty-three billion, one hundred ten million, one hundred thirty-one thousand, two hundred".
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