| Base | Representation |
|---|---|
| bin | 111000001010111111… |
| … | …1010101000011100000 |
| 3 | 102112100202212200100000 |
| 4 | 1300111333111003200 |
| 5 | 3434021232212021 |
| 6 | 131225444500000 |
| 7 | 11500163100000 |
| oct | 1602577250340 |
| 9 | 375322780300 |
| 10 | 120628007136 |
| 11 | 4718140218a |
| 12 | 1b4660aa600 |
| 13 | b4b533ab20 |
| 14 | 5ba4900000 |
| 15 | 32101a6b26 |
| hex | 1c15fd50e0 |
120628007136 has 864 divisors, whose sum is σ = 453247861248. Its totient is φ = 31365895680.
The previous prime is 120628007131. The next prime is 120628007179. The reversal of 120628007136 is 631700826021.
120628007136 is a `hidden beast` number, since 1 + 20 + 628 + 0 + 0 + 7 + 1 + 3 + 6 = 666.
It is a tau number, because it is divible by the number of its divisors (864).
It is a super-2 number, since 2×1206280071362 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 120628007136.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (120628007131) by changing a digit.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1698985981 + ... + 1698986051.
It is an arithmetic number, because the mean of its divisors is an integer number (524592432).
Almost surely, 2120628007136 is an apocalyptic number.
120628007136 is a gapful number since it is divisible by the number (16) 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 120628007136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226623930624).
120628007136 is an abundant number, since it is smaller than the sum of its proper divisors (332619854112).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
120628007136 is an frugal number, since it uses more digits than its factorization.
120628007136 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 144 (or 96 counting only the distinct ones).
The product of its (nonzero) digits is 24192, while the sum is 36.
The spelling of 120628007136 in words is "one hundred twenty billion, six hundred twenty-eight million, seven thousand, one hundred thirty-six".
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