| Base | Representation |
|---|---|
| bin | 10010000010111100000… |
| … | …110100001010000000000 |
| 3 | 11101112221010222200022200 |
| 4 | 102002330012201100000 |
| 5 | 130304214220010122 |
| 6 | 2345410320033200 |
| 7 | 155410664352042 |
| oct | 22027406412000 |
| 9 | 4345833880280 |
| 10 | 1240106406912 |
| 11 | 438a2081222a |
| 12 | 180411162800 |
| 13 | 8cc31715029 |
| 14 | 44042cb3a92 |
| 15 | 223d0be05ac |
| hex | 120bc1a1400 |
1240106406912 has 264 divisors, whose sum is σ = 3687406437000. Its totient is φ = 401119838208.
The previous prime is 1240106406887. The next prime is 1240106406919. The reversal of 1240106406912 is 2196046010421.
1240106406912 is a `hidden beast` number, since 1 + 2 + 4 + 0 + 1 + 0 + 640 + 6 + 9 + 1 + 2 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 498413408256 + 741692998656 = 705984^2 + 861216^2 .
It is a super-3 number, since 3×12401064069123 (a number of 37 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1240106406919) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132641214 + ... + 132650562.
It is an arithmetic number, because the mean of its divisors is an integer number (13967448625).
Almost surely, 21240106406912 is an apocalyptic number.
1240106406912 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 1240106406912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1843703218500).
1240106406912 is an abundant number, since it is smaller than the sum of its proper divisors (2447300030088).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1240106406912 is a wasteful number, since it uses less digits than its factorization.
1240106406912 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 9801 (or 9780 counting only the distinct ones).
The product of its (nonzero) digits is 20736, while the sum is 36.
The spelling of 1240106406912 in words is "one trillion, two hundred forty billion, one hundred six million, four hundred six thousand, nine hundred twelve".
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