| Base | Representation |
|---|---|
| bin | 11101110000000001000… |
| … | …01111110000000110000 |
| 3 | 10121201111122120021210120 |
| 4 | 32320000201332000300 |
| 5 | 113221442021334300 |
| 6 | 2101333003530240 |
| 7 | 133565226111303 |
| oct | 16700041760060 |
| 9 | 3551448507716 |
| 10 | 1022211121200 |
| 11 | 364576590005 |
| 12 | 146140529980 |
| 13 | 75517a99ac9 |
| 14 | 37692262b3a |
| 15 | 1b8cb6993a0 |
| hex | ee0087e030 |
1022211121200 has 240 divisors, whose sum is σ = 3364587390720. Its totient is φ = 265095797760.
The previous prime is 1022211121187. The next prime is 1022211121241. The reversal of 1022211121200 is 21211122201.
It is a tau number, because it is divible by the number of its divisors (240).
It is a super-2 number, since 2×10222111212002 (a number of 25 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 1022211121200.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125159517 + ... + 125167683.
It is an arithmetic number, because the mean of its divisors is an integer number (14019114128).
Almost surely, 21022211121200 is an apocalyptic number.
1022211121200 is a gapful number since it is divisible by the number (10) 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 1022211121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1682293695360).
1022211121200 is an abundant number, since it is smaller than the sum of its proper divisors (2342376269520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1022211121200 is a wasteful number, since it uses less digits than its factorization.
1022211121200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 11044 (or 11033 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 15.
Adding to 1022211121200 its reverse (21211122201), we get a palindrome (1043422243401).
It can be divided in two parts, 1022211 and 121200, that added together give a palindrome (1143411).
The spelling of 1022211121200 in words is "one trillion, twenty-two billion, two hundred eleven million, one hundred twenty-one thousand, two hundred".
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