| Base | Representation |
|---|---|
| bin | 11101001000100011000… |
| … | …00100001111000000000 |
| 3 | 10112200210212211200210022 |
| 4 | 32210101200201320000 |
| 5 | 112400042401320000 |
| 6 | 2043510204353012 |
| 7 | 132215144062166 |
| oct | 16442140417000 |
| 9 | 3480725750708 |
| 10 | 1001021120000 |
| 11 | 356592364520 |
| 12 | 142007b45768 |
| 13 | 7351b9bbb65 |
| 14 | 36641cd1236 |
| 15 | 1b08b21a585 |
| hex | e911821e00 |
1001021120000 has 400 divisors, whose sum is σ = 2752587327600. Its totient is φ = 360529920000.
The previous prime is 1001021119997. The next prime is 1001021120003. The reversal of 1001021120000 is 211201001.
It is an interprime number because it is at equal distance from previous prime (1001021119997) and next prime (1001021120003).
It is a tau number, because it is divible by the number of its divisors (400).
It is a Harshad number since it is a multiple of its sum of digits (8).
It is a self number, because there is not a number n which added to its sum of digits gives 1001021120000.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1001021120003) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 383678696 + ... + 383681304.
It is an arithmetic number, because the mean of its divisors is an integer number (6881468319).
Almost surely, 21001021120000 is an apocalyptic number.
1001021120000 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 1001021120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376293663800).
1001021120000 is an abundant number, since it is smaller than the sum of its proper divisors (1751566207600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1001021120000 is an equidigital number, since it uses as much as digits as its factorization.
1001021120000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2767 (or 2736 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 8.
Adding to 1001021120000 its reverse (211201001), we get a palindrome (1001232321001).
The spelling of 1001021120000 in words is "one trillion, one billion, twenty-one million, one hundred twenty thousand".
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