| Base | Representation |
|---|---|
| bin | 11110110110100000011… |
| … | …110100001100010110000 |
| 3 | 21111200101012022200201200 |
| 4 | 132312200132201202300 |
| 5 | 234213441433430300 |
| 6 | 4301544325331200 |
| 7 | 306113222066352 |
| oct | 36664036414260 |
| 9 | 7450335280650 |
| 10 | 2120111233200 |
| 11 | 74815257a074 |
| 12 | 2a2a84b66b00 |
| 13 | 124c057c61ac |
| 14 | 748848ad0d2 |
| 15 | 3a237b06200 |
| hex | 1eda07a18b0 |
2120111233200 has 720 divisors, whose sum is σ = 7790498876160. Its totient is φ = 533224581120.
The previous prime is 2120111233183. The next prime is 2120111233213. The reversal of 2120111233200 is 23321110212.
2120111233200 is a `hidden beast` number, since 2 + 120 + 111 + 233 + 200 = 666.
It is a tau number, because it is divible by the number of its divisors (720).
It is a super-2 number, since 2×21201112332002 (a number of 25 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
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 143 ways as a sum of consecutive naturals, for example, 796135069 + ... + 796137731.
It is an arithmetic number, because the mean of its divisors is an integer number (10820137328).
Almost surely, 22120111233200 is an apocalyptic number.
2120111233200 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 2120111233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3895249438080).
2120111233200 is an abundant number, since it is smaller than the sum of its proper divisors (5670387642960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2120111233200 is a wasteful number, since it uses less digits than its factorization.
2120111233200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2906 (or 2892 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
Adding to 2120111233200 its reverse (23321110212), we get a palindrome (2143432343412).
The spelling of 2120111233200 in words is "two trillion, one hundred twenty billion, one hundred eleven million, two hundred thirty-three thousand, two hundred".
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