| Base | Representation |
|---|---|
| bin | 1001001101001011011011… |
| … | …1000011111010111000000 |
| 3 | 1022211122200100211222102112 |
| 4 | 2103102312320133113000 |
| 5 | 2311314334332224300 |
| 6 | 33305553204434452 |
| 7 | 2063201605464230 |
| oct | 223226670372700 |
| 9 | 38748610758375 |
| 10 | 10122011211200 |
| 11 | 32527a24a2959 |
| 12 | 11758690a8a28 |
| 13 | 585669c13b95 |
| 14 | 26dc9d60bcc0 |
| 15 | 12846b772e35 |
| hex | 934b6e1f5c0 |
10122011211200 has 168 divisors, whose sum is σ = 28479814032384. Its totient is φ = 3468541824000.
The previous prime is 10122011211197. The next prime is 10122011211203. The reversal of 10122011211200 is 211211022101.
10122011211200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (10122011211197) and next prime (10122011211203).
It is a super-2 number, since 2×101220112112002 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (14).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10122011211203) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20713685 + ... + 21196715.
Almost surely, 210122011211200 is an apocalyptic number.
10122011211200 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 10122011211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14239907016192).
10122011211200 is an abundant number, since it is smaller than the sum of its proper divisors (18357802821184).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10122011211200 is a wasteful number, since it uses less digits than its factorization.
10122011211200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 484931 (or 484916 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 14.
Adding to 10122011211200 its reverse (211211022101), we get a palindrome (10333222233301).
The spelling of 10122011211200 in words is "ten trillion, one hundred twenty-two billion, eleven million, two hundred eleven thousand, two hundred".
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