| Base | Representation |
|---|---|
| bin | 1001000111010011100101… |
| … | …1011001010010101110000 |
| 3 | 1022111000021020020021121200 |
| 4 | 2101310321123022111300 |
| 5 | 2303141224230414440 |
| 6 | 33151350121251200 |
| 7 | 2053000514415213 |
| oct | 221647133122560 |
| 9 | 38430236207550 |
| 10 | 10021122123120 |
| 11 | 3213a30208819 |
| 12 | 115a1b1633b00 |
| 13 | 578cac15b724 |
| 14 | 26904c47177a |
| 15 | 125a14464c30 |
| hex | 91d396ca570 |
10021122123120 has 240 divisors, whose sum is σ = 34819347981600. Its totient is φ = 2579811010560.
The previous prime is 10021122123049. The next prime is 10021122123121. The reversal of 10021122123120 is 2132122112001.
10021122123120 is a `hidden beast` number, since 1 + 0 + 0 + 211 + 221 + 231 + 2 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (240).
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 = 10021122123093 and 10021122123102.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10021122123121) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 184113510 + ... + 184167930.
It is an arithmetic number, because the mean of its divisors is an integer number (145080616590).
Almost surely, 210021122123120 is an apocalyptic number.
10021122123120 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 10021122123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17409673990800).
10021122123120 is an abundant number, since it is smaller than the sum of its proper divisors (24798225858480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10021122123120 is a wasteful number, since it uses less digits than its factorization.
10021122123120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 63288 (or 63279 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 18.
Adding to 10021122123120 its reverse (2132122112001), we get a palindrome (12153244235121).
The spelling of 10021122123120 in words is "ten trillion, twenty-one billion, one hundred twenty-two million, one hundred twenty-three thousand, one hundred twenty".
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