| Base | Representation |
|---|---|
| bin | 110010010011001011010010… |
| … | …001000111111101100110000 |
| 3 | 1002000021102202220102111002100 |
| 4 | 302103023102020333230300 |
| 5 | 212443432241421334300 |
| 6 | 2102255041023220400 |
| 7 | 64411424402631042 |
| oct | 6223132210775460 |
| 9 | 1060242686374070 |
| 10 | 221220111121200 |
| 11 | 6453aa165934a4 |
| 12 | 20989b33747700 |
| 13 | 9658c75570a19 |
| 14 | 3c8b179339a92 |
| 15 | 1a896994cb700 |
| hex | c932d223fb30 |
221220111121200 has 360 divisors, whose sum is σ = 774896293931760. Its totient is φ = 58440520857600.
The previous prime is 221220111121169. The next prime is 221220111121241. The reversal of 221220111121200 is 2121111022122.
221220111121200 is a `hidden beast` number, since 2 + 212 + 20 + 111 + 121 + 200 = 666.
It is a tau number, because it is divible by the number of its divisors (360).
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 (23) of ones.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 230204914 + ... + 231163886.
It is an arithmetic number, because the mean of its divisors is an integer number (2152489705366).
Almost surely, 2221220111121200 is an apocalyptic number.
221220111121200 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 221220111121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387448146965880).
221220111121200 is an abundant number, since it is smaller than the sum of its proper divisors (553676182810560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
221220111121200 is a wasteful number, since it uses less digits than its factorization.
221220111121200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 959597 (or 959583 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 18.
Adding to 221220111121200 its reverse (2121111022122), we get a palindrome (223341222143322).
The spelling of 221220111121200 in words is "two hundred twenty-one trillion, two hundred twenty billion, one hundred eleven million, one hundred twenty-one thousand, two hundred".
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