| Base | Representation |
|---|---|
| bin | 1011000100000101100100… |
| … | …0011001110100000000000 |
| 3 | 1121001221120201020212111100 |
| 4 | 2301001121003032200000 |
| 5 | 3043302043344302240 |
| 6 | 41512241225214400 |
| 7 | 2363611052545320 |
| oct | 261013103164000 |
| 9 | 47057521225440 |
| 10 | 12164841400320 |
| 11 | 3970097919754 |
| 12 | 1445764931400 |
| 13 | 6a31a7997b0b |
| 14 | 300ad24ab280 |
| 15 | 16167e936e30 |
| hex | b10590ce800 |
12164841400320 has 2304 divisors, whose sum is σ = 52986286080000. Its totient is φ = 2520223580160.
The previous prime is 12164841400307. The next prime is 12164841400333. The reversal of 12164841400320 is 2300414846121.
12164841400320 is a `hidden beast` number, since 1 + 2 + 1 + 6 + 484 + 140 + 0 + 32 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (12164841400307) and next prime (12164841400333).
It is a tau number, because it is divible by the number of its divisors (2304).
It is a super-2 number, since 2×121648414003202 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24378439431 + ... + 24378439929.
It is an arithmetic number, because the mean of its divisors is an integer number (22997520000).
Almost surely, 212164841400320 is an apocalyptic number.
12164841400320 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 12164841400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26493143040000).
12164841400320 is an abundant number, since it is smaller than the sum of its proper divisors (40821444679680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12164841400320 is a wasteful number, since it uses less digits than its factorization.
12164841400320 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 646 (or 623 counting only the distinct ones).
The product of its (nonzero) digits is 36864, while the sum is 36.
The spelling of 12164841400320 in words is "twelve trillion, one hundred sixty-four billion, eight hundred forty-one million, four hundred thousand, three hundred twenty".
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