Base | Representation |
---|---|
bin | 10110101111101011… |
… | …10100010110111000 |
3 | 1011112000102101122001 |
4 | 23113311310112320 |
5 | 200002023102440 |
6 | 5335411110344 |
7 | 611414004160 |
oct | 132765642670 |
9 | 34460371561 |
10 | 12211144120 |
11 | 51a696634a |
12 | 24495a23b4 |
13 | 11c7b21386 |
14 | 83baa15a0 |
15 | 4b707bb9a |
hex | 2d7d745b8 |
12211144120 has 64 divisors (see below), whose sum is σ = 31500630720. Its totient is φ = 4173272064.
The previous prime is 12211144097. The next prime is 12211144133. The reversal of 12211144120 is 2144111221.
It is a happy number.
It is a super-2 number, since 2×122111441202 (a number of 21 digits) contains 22 as substring.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17974 + ... + 157306.
It is an arithmetic number, because the mean of its divisors is an integer number (492197355).
Almost surely, 212211144120 is an apocalyptic number.
12211144120 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 12211144120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15750315360).
12211144120 is an abundant number, since it is smaller than the sum of its proper divisors (19289486600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12211144120 is a wasteful number, since it uses less digits than its factorization.
12211144120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 139664 (or 139660 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 19.
Adding to 12211144120 its reverse (2144111221), we get a palindrome (14355255341).
It can be divided in two parts, 1221 and 1144120, that added together give a triangular number (1145341 = T1513).
The spelling of 12211144120 in words is "twelve billion, two hundred eleven million, one hundred forty-four thousand, one hundred twenty".
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