| Base | Representation |
|---|---|
| bin | 11101011101001111100… |
| … | …01100011110000000000 |
| 3 | 10120202111020010000111120 |
| 4 | 32232213301203300000 |
| 5 | 113040321304213440 |
| 6 | 2052544515312240 |
| 7 | 133060401624150 |
| oct | 16564761436000 |
| 9 | 3522436100446 |
| 10 | 1012132101120 |
| 11 | 360274204048 |
| 12 | 1441a8bab680 |
| 13 | 7459c9032ba |
| 14 | 36db7810760 |
| 15 | 1b4db8ccdd0 |
| hex | eba7c63c00 |
1012132101120 has 704 divisors, whose sum is σ = 3810006097920. Its totient is φ = 224518275072.
The previous prime is 1012132101109. The next prime is 1012132101139. The reversal of 1012132101120 is 211012312101.
It is a super-2 number, since 2×10121321011202 (a number of 25 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 1012132101120.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 827580829 + ... + 827582051.
It is an arithmetic number, because the mean of its divisors is an integer number (5411940480).
Almost surely, 21012132101120 is an apocalyptic number.
1012132101120 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 1012132101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1905003048960).
1012132101120 is an abundant number, since it is smaller than the sum of its proper divisors (2797873996800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1012132101120 is a wasteful number, since it uses less digits than its factorization.
1012132101120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1480 (or 1462 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 15.
Adding to 1012132101120 its reverse (211012312101), we get a palindrome (1223144413221).
The spelling of 1012132101120 in words is "one trillion, twelve billion, one hundred thirty-two million, one hundred one thousand, one hundred twenty".
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