| Base | Representation |
|---|---|
| bin | 111011101110110… |
| … | …010001101001100 |
| 3 | 2120211122222020000 |
| 4 | 323232302031030 |
| 5 | 4023020320022 |
| 6 | 243234524300 |
| 7 | 33555610455 |
| oct | 7356621514 |
| 9 | 2524588200 |
| 10 | 1002120012 |
| 11 | 474741663 |
| 12 | 23b736690 |
| 13 | 12c80012a |
| 14 | 9714012c |
| 15 | 5ce9e6ac |
| hex | 3bbb234c |
1002120012 has 120 divisors (see below), whose sum is σ = 2863808640. Its totient is φ = 304197120.
The previous prime is 1002119999. The next prime is 1002120019. The reversal of 1002120012 is 2100212001.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a junction number, because it is equal to n+sod(n) for n = 1002119976 and 1002120003.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1002120019) by changing a digit.
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 39 ways as a sum of consecutive naturals, for example, 167814 + ... + 173682.
It is an arithmetic number, because the mean of its divisors is an integer number (23865072).
Almost surely, 21002120012 is an apocalyptic number.
1002120012 is a gapful number since it is divisible by the number (12) 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 1002120012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431904320).
1002120012 is an abundant number, since it is smaller than the sum of its proper divisors (1861688628).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1002120012 is a wasteful number, since it uses less digits than its factorization.
1002120012 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5933 (or 5922 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 9.
The square root of 1002120012 is about 31656.2791875482. The cubic root of 1002120012 is about 1000.7061718706.
Adding to 1002120012 its reverse (2100212001), we get a palindrome (3102332013).
It can be divided in two parts, 100212001 and 2, that multiplied together give a palindrome (200424002).
The spelling of 1002120012 in words is "one billion, two million, one hundred twenty thousand, twelve".
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