| Base | Representation |
|---|---|
| bin | 11011110000111110100110… |
| … | …100110001100000010010000 |
| 3 | 121000100220000122021221110200 |
| 4 | 123300332212212030002100 |
| 5 | 112001144421104034300 |
| 6 | 1111413535323055200 |
| 7 | 34502242141545615 |
| oct | 3360764646140220 |
| 9 | 530326018257420 |
| 10 | 122113010221200 |
| 11 | 359aa922876919 |
| 12 | 118423a0071500 |
| 13 | 531a290a108cb |
| 14 | 222243080a50c |
| 15 | e1b68db3d200 |
| hex | 6f0fa698c090 |
122113010221200 has 360 divisors, whose sum is σ = 435370809437928. Its totient is φ = 31672338923520.
The previous prime is 122113010221177. The next prime is 122113010221201. The reversal of 122113010221200 is 2122010311221.
122113010221200 is a `hidden beast` number, since 1 + 2 + 211 + 30 + 1 + 0 + 221 + 200 = 666.
It can be written as a sum of positive squares in 12 ways, for example, as 64518935687424 + 57594074533776 = 8032368^2 + 7589076^2 .
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 not an unprimeable number, because it can be changed into a prime (122113010221201) by changing a digit.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 385722174 + ... + 386038626.
Almost surely, 2122113010221200 is an apocalyptic number.
122113010221200 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 122113010221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217685404718964).
122113010221200 is an abundant number, since it is smaller than the sum of its proper divisors (313257799216728).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122113010221200 is a wasteful number, since it uses less digits than its factorization.
122113010221200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 319411 (or 319397 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 18.
Adding to 122113010221200 its reverse (2122010311221), we get a palindrome (124235020532421).
The spelling of 122113010221200 in words is "one hundred twenty-two trillion, one hundred thirteen billion, ten million, two hundred twenty-one thousand, two hundred".
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