| Base | Representation |
|---|---|
| bin | 1001001101001011111000… |
| … | …0010001110000001001000 |
| 3 | 1022211122222201122011000200 |
| 4 | 2103102332002032001020 |
| 5 | 2311320111041431440 |
| 6 | 33310013132332200 |
| 7 | 2063204563420050 |
| oct | 223227602160110 |
| 9 | 38748881564020 |
| 10 | 10122131202120 |
| 11 | 32528541a8903 |
| 12 | 11758a1314060 |
| 13 | 585688a36922 |
| 14 | 26dcb1524560 |
| 15 | 128477075c30 |
| hex | 934be08e048 |
10122131202120 has 384 divisors, whose sum is σ = 39782486016000. Its totient is φ = 2180382312960.
The previous prime is 10122131202097. The next prime is 10122131202133. The reversal of 10122131202120 is 2120213122101.
10122131202120 is a `hidden beast` number, since 10 + 1 + 221 + 312 + 0 + 2 + 120 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 10122131202093 and 10122131202102.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8591661 + ... + 9698499.
It is an arithmetic number, because the mean of its divisors is an integer number (103600224000).
Almost surely, 210122131202120 is an apocalyptic number.
10122131202120 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 10122131202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19891243008000).
10122131202120 is an abundant number, since it is smaller than the sum of its proper divisors (29660354813880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10122131202120 is a wasteful number, since it uses less digits than its factorization.
10122131202120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1107073 (or 1107066 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 18.
Adding to 10122131202120 its reverse (2120213122101), we get a palindrome (12242344324221).
The spelling of 10122131202120 in words is "ten trillion, one hundred twenty-two billion, one hundred thirty-one million, two hundred two thousand, one hundred twenty".
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