| Base | Representation |
|---|---|
| bin | 1010111010100011001111… |
| … | …0010101101100110001000 |
| 3 | 1120111021200211222022011101 |
| 4 | 2232220303302231212020 |
| 5 | 3033111030413311000 |
| 6 | 41305104201311144 |
| 7 | 2346021104056330 |
| oct | 256506362554610 |
| 9 | 46437624868141 |
| 10 | 12001007557000 |
| 11 | 390766499a340 |
| 12 | 1419a611954b4 |
| 13 | 6908c8374667 |
| 14 | 2d6bcd7360c0 |
| 15 | 15c2915e5e6a |
| hex | aea33cad988 |
12001007557000 has 1024 divisors, whose sum is σ = 38327135109120. Its totient is φ = 3403008000000.
The previous prime is 12001007556991. The next prime is 12001007557013. The reversal of 12001007557000 is 75570010021.
12001007557000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×120010075570002 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (28).
It is a self number, because there is not a number n which added to its sum of digits gives 12001007557000.
It is an unprimeable number.
It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5684985945 + ... + 5684988055.
It is an arithmetic number, because the mean of its divisors is an integer number (37428842880).
Almost surely, 212001007557000 is an apocalyptic number.
12001007557000 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 12001007557000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19163567554560).
12001007557000 is an abundant number, since it is smaller than the sum of its proper divisors (26326127552120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12001007557000 is a wasteful number, since it uses less digits than its factorization.
12001007557000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2311 (or 2297 counting only the distinct ones).
The product of its (nonzero) digits is 2450, while the sum is 28.
Adding to 12001007557000 its reverse (75570010021), we get a palindrome (12076577567021).
The spelling of 12001007557000 in words is "twelve trillion, one billion, seven million, five hundred fifty-seven thousand".
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