| Base | Representation |
|---|---|
| bin | 110111111110101000… |
| … | …1000000111111000000 |
| 3 | 102111021212100221220200 |
| 4 | 1233331101000333000 |
| 5 | 3432144040304440 |
| 6 | 131120350205200 |
| 7 | 11453665311000 |
| oct | 1577521007700 |
| 9 | 374255327820 |
| 10 | 120213213120 |
| 11 | 46a89252310 |
| 12 | 1b36b1b3800 |
| 13 | b44a419890 |
| 14 | 5b657a8000 |
| 15 | 31d8a6ec30 |
| hex | 1bfd440fc0 |
120213213120 has 2688 divisors, whose sum is σ = 607103078400. Its totient is φ = 21459271680.
The previous prime is 120213213089. The next prime is 120213213181. The reversal of 120213213120 is 21312312021.
120213213120 is a `hidden beast` number, since 12 + 0 + 21 + 321 + 312 + 0 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 120213213093 and 120213213102.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3249005742 + ... + 3249005778.
It is an arithmetic number, because the mean of its divisors is an integer number (225856800).
Almost surely, 2120213213120 is an apocalyptic number.
120213213120 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 120213213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303551539200).
120213213120 is an abundant number, since it is smaller than the sum of its proper divisors (486889865280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
120213213120 is a wasteful number, since it uses less digits than its factorization.
120213213120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 128 (or 101 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
Adding to 120213213120 its reverse (21312312021), we get a palindrome (141525525141).
It can be divided in two parts, 120213 and 213120, that added together give a palindrome (333333).
The spelling of 120213213120 in words is "one hundred twenty billion, two hundred thirteen million, two hundred thirteen thousand, one hundred twenty".
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