| Base | Representation |
|---|---|
| bin | 11110110110011011001… |
| … | …010010000001011100000 |
| 3 | 21111200010222110212020000 |
| 4 | 132312123022100023200 |
| 5 | 234213301120024440 |
| 6 | 4301531421420000 |
| 7 | 306111056644665 |
| oct | 36663312201340 |
| 9 | 7450128425200 |
| 10 | 2120022033120 |
| 11 | 7481071947a2 |
| 12 | 2a2a5b10a600 |
| 13 | 124bc0194394 |
| 14 | 74876acda6c |
| 15 | 3a22ed86730 |
| hex | 1ed9b2902e0 |
2120022033120 has 480 divisors, whose sum is σ = 7733512765440. Its totient is φ = 546376596480.
The previous prime is 2120022033091. The next prime is 2120022033121. The reversal of 2120022033120 is 213302200212.
It is a tau number, because it is divible by the number of its divisors (480).
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 = 2120022033093 and 2120022033102.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2120022033121) by changing a digit.
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 79 ways as a sum of consecutive naturals, for example, 345108769 + ... + 345114911.
It is an arithmetic number, because the mean of its divisors is an integer number (16111484928).
Almost surely, 22120022033120 is an apocalyptic number.
2120022033120 is a gapful number since it is divisible by the number (20) 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 2120022033120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3866756382720).
2120022033120 is an abundant number, since it is smaller than the sum of its proper divisors (5613490732320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2120022033120 is a wasteful number, since it uses less digits than its factorization.
2120022033120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7060 (or 7043 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
Adding to 2120022033120 its reverse (213302200212), we get a palindrome (2333324233332).
The spelling of 2120022033120 in words is "two trillion, one hundred twenty billion, twenty-two million, thirty-three thousand, one hundred twenty".
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