| Base | Representation |
|---|---|
| bin | 101111110001101001100000… |
| … | …000010000111001000000000 |
| 3 | 1000112222021110011022221221220 |
| 4 | 233301221200002013020000 |
| 5 | 210020101230303033440 |
| 6 | 2022515443533115040 |
| 7 | 62154445336351464 |
| oct | 5761514002071000 |
| 9 | 1015867404287856 |
| 10 | 210120001221120 |
| 11 | 60a50434965981 |
| 12 | 1b6967b7328a80 |
| 13 | 903230093b503 |
| 14 | 39c5c102d64a4 |
| 15 | 1945a841298d0 |
| hex | bf1a60087200 |
210120001221120 has 320 divisors, whose sum is σ = 694628056387584. Its totient is φ = 54128168386560.
The previous prime is 210120001221113. The next prime is 210120001221121. The reversal of 210120001221120 is 21122100021012.
It is a tau number, because it is divible by the number of its divisors (320).
It is a super-2 number, since 2×2101200012211202 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 210120001221120.
It is not an unprimeable number, because it can be changed into a prime (210120001221121) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133255239 + ... + 134822841.
Almost surely, 2210120001221120 is an apocalyptic number.
210120001221120 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 210120001221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347314028193792).
210120001221120 is an abundant number, since it is smaller than the sum of its proper divisors (484508055166464).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
210120001221120 is a wasteful number, since it uses less digits than its factorization.
210120001221120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1568223 (or 1568207 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 15.
Adding to 210120001221120 its reverse (21122100021012), we get a palindrome (231242101242132).
The spelling of 210120001221120 in words is "two hundred ten trillion, one hundred twenty billion, one million, two hundred twenty-one thousand, one hundred twenty".
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