| Base | Representation |
|---|---|
| bin | 110010010001111001011010… |
| … | …111100111000011101100000 |
| 3 | 1001222222000220001221010102110 |
| 4 | 302101321122330320131200 |
| 5 | 212441012232300024300 |
| 6 | 2102150422534315320 |
| 7 | 64402163234443545 |
| oct | 6221713274703540 |
| 9 | 1058860801833373 |
| 10 | 221132212111200 |
| 11 | 6450670a917285 |
| 12 | 20974aa24b8b40 |
| 13 | 96508a7ac50c0 |
| 14 | 3c86bdb4a4bcc |
| 15 | 1a87252810550 |
| hex | c91e5af38760 |
221132212111200 has 576 divisors, whose sum is σ = 776707475040000. Its totient is φ = 54323525836800.
The previous prime is 221132212111177. The next prime is 221132212111207. The reversal of 221132212111200 is 2111212231122.
221132212111200 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×2211322121112002 (a number of 29 digits) contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (221132212111207) by changing a digit.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63198687051 + ... + 63198690549.
It is an arithmetic number, because the mean of its divisors is an integer number (1348450477500).
Almost surely, 2221132212111200 is an apocalyptic number.
221132212111200 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 221132212111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388353737520000).
221132212111200 is an abundant number, since it is smaller than the sum of its proper divisors (555575262928800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
221132212111200 is a wasteful number, since it uses less digits than its factorization.
221132212111200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7015 (or 7002 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 21.
Adding to 221132212111200 its reverse (2111212231122), we get a palindrome (223243424342322).
The spelling of 221132212111200 in words is "two hundred twenty-one trillion, one hundred thirty-two billion, two hundred twelve million, one hundred eleven thousand, two hundred".
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