| Base | Representation |
|---|---|
| bin | 111000111010011110… |
| … | …0100111010011111000 |
| 3 | 102200110210121202102120 |
| 4 | 1301310330213103320 |
| 5 | 4000302102143000 |
| 6 | 132051515001240 |
| 7 | 11554516320663 |
| oct | 1616474472370 |
| 9 | 380423552376 |
| 10 | 122221131000 |
| 11 | 47919707781 |
| 12 | 1b82b739220 |
| 13 | b6aa406b77 |
| 14 | 5cb63246da |
| 15 | 32a4e986a0 |
| hex | 1c74f274f8 |
122221131000 has 128 divisors (see below), whose sum is σ = 381471068160. Its totient is φ = 32580240000.
The previous prime is 122221130989. The next prime is 122221131029. The reversal of 122221131000 is 131122221.
122221131000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×1222211310002 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10575225 + ... + 10586775.
It is an arithmetic number, because the mean of its divisors is an integer number (2980242720).
Almost surely, 2122221131000 is an apocalyptic number.
122221131000 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 122221131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190735534080).
122221131000 is an abundant number, since it is smaller than the sum of its proper divisors (259249937160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122221131000 is a wasteful number, since it uses less digits than its factorization.
122221131000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 15102 (or 15088 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 15.
Adding to 122221131000 its reverse (131122221), we get a palindrome (122352253221).
It can be divided in two parts, 122 and 221131000, that added together give a palindrome (221131122).
The spelling of 122221131000 in words is "one hundred twenty-two billion, two hundred twenty-one million, one hundred thirty-one thousand".
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