| Base | Representation |
|---|---|
| bin | 11011110001001111010010… |
| … | …001010010001100000000000 |
| 3 | 121000102121020212112021012020 |
| 4 | 123301033102022101200000 |
| 5 | 112001443111232021430 |
| 6 | 1111430100500401440 |
| 7 | 34503445034445060 |
| oct | 3361172212214000 |
| 9 | 530377225467166 |
| 10 | 122130920970240 |
| 11 | 35a07483a39756 |
| 12 | 1184595a3a6280 |
| 13 | 531bb865c2170 |
| 14 | 222324d4433a0 |
| 15 | e1bd8b266b10 |
| hex | 6f13d2291800 |
122130920970240 has 1536 divisors, whose sum is σ = 513770729472000. Its totient is φ = 24046997078016.
The previous prime is 122130920970211. The next prime is 122130920970349. The reversal of 122130920970240 is 42079029031221.
122130920970240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (1536).
It is a Harshad number since it is a multiple of its sum of digits (42).
It is a junction number, because it is equal to n+sod(n) for n = 122130920970192 and 122130920970201.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3558679801 + ... + 3558714119.
It is an arithmetic number, because the mean of its divisors is an integer number (334486152000).
Almost surely, 2122130920970240 is an apocalyptic number.
122130920970240 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 122130920970240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256885364736000).
122130920970240 is an abundant number, since it is smaller than the sum of its proper divisors (391639808501760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122130920970240 is a wasteful number, since it uses less digits than its factorization.
122130920970240 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 34455 (or 34435 counting only the distinct ones).
The product of its (nonzero) digits is 108864, while the sum is 42.
The spelling of 122130920970240 in words is "one hundred twenty-two trillion, one hundred thirty billion, nine hundred twenty million, nine hundred seventy thousand, two hundred forty".
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