| Base | Representation |
|---|---|
| bin | 11011110000110010101011… |
| … | …101001101011100110100000 |
| 3 | 121000022122222120122111010221 |
| 4 | 123300302223221223212200 |
| 5 | 112000442212242333440 |
| 6 | 1111404021232332424 |
| 7 | 34501310013520600 |
| oct | 3360625351534640 |
| 9 | 530278876574127 |
| 10 | 122100210121120 |
| 11 | 359a5454516210 |
| 12 | 1183ba093a4114 |
| 13 | 5319000b8c7aa |
| 14 | 2221978838c00 |
| 15 | e1b190025d4a |
| hex | 6f0caba6b9a0 |
122100210121120 has 1152 divisors, whose sum is σ = 398323308257280. Its totient is φ = 34841705472000.
The previous prime is 122100210121117. The next prime is 122100210121129. The reversal of 122100210121120 is 21121012001221.
It is a super-2 number, since 2×1221002101211202 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a junction number, because it is equal to n+sod(n) for n = 122100210121094 and 122100210121103.
It is not an unprimeable number, because it can be changed into a prime (122100210121129) by changing a digit.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 50642972715 + ... + 50642975125.
It is an arithmetic number, because the mean of its divisors is an integer number (345766760640).
Almost surely, 2122100210121120 is an apocalyptic number.
122100210121120 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 122100210121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199161654128640).
122100210121120 is an abundant number, since it is smaller than the sum of its proper divisors (276223098136160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122100210121120 is a wasteful number, since it uses less digits than its factorization.
122100210121120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3498 (or 3483 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 16.
Adding to 122100210121120 its reverse (21121012001221), we get a palindrome (143221222122341).
The spelling of 122100210121120 in words is "one hundred twenty-two trillion, one hundred billion, two hundred ten million, one hundred twenty-one thousand, one hundred twenty".
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