| Base | Representation |
|---|---|
| bin | 11101000110110111101… |
| … | …11101011110000011000 |
| 3 | 10112121111011112001020010 |
| 4 | 32203123313223300120 |
| 5 | 112341222013020440 |
| 6 | 2043241020401520 |
| 7 | 132153636051321 |
| oct | 16433367536030 |
| 9 | 3477434461203 |
| 10 | 1000121220120 |
| 11 | 3561703a0410 |
| 12 | 1419b66a62a0 |
| 13 | 7340742bc19 |
| 14 | 3659859d448 |
| 15 | 1b03720d580 |
| hex | e8dbdebc18 |
1000121220120 has 256 divisors, whose sum is σ = 3351829248000. Its totient is φ = 236692684800.
The previous prime is 1000121220113. The next prime is 1000121220121. The reversal of 1000121220120 is 210221210001.
It is a super-3 number, since 3×10001212201203 (a number of 37 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a junction number, because it is equal to n+sod(n) for n = 1000121220096 and 1000121220105.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1000121220121) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9227040 + ... + 9334800.
It is an arithmetic number, because the mean of its divisors is an integer number (13093083000).
Almost surely, 21000121220120 is an apocalyptic number.
1000121220120 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 1000121220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1675914624000).
1000121220120 is an abundant number, since it is smaller than the sum of its proper divisors (2351708027880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1000121220120 is a wasteful number, since it uses less digits than its factorization.
1000121220120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 107954 (or 107950 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 12.
Adding to 1000121220120 its reverse (210221210001), we get a palindrome (1210342430121).
The spelling of 1000121220120 in words is "one trillion, one hundred twenty-one million, two hundred twenty thousand, one hundred twenty".
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