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2000122110112 = 25742123339091
BaseRepresentation
bin11101000110110000100…
…100010110000010100000
321002012122221121200112211
4131012300210112002200
5230232222230010422
64130502102131504
7264334614265150
oct35066044260240
97065587550484
102000122110112
11701279873a35
12283778a20b94
131167c2949889
146cb40b98760
1537063a9d577
hex1d1b09160a0

2000122110112 has 96 divisors (see below), whose sum is σ = 4513394196864. Its totient is φ = 854698521600.

The previous prime is 2000122110067. The next prime is 2000122110121. The reversal of 2000122110112 is 2110112210002.

It is a junction number, because it is equal to n+sod(n) for n = 2000122110092 and 2000122110101.

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, 220006687 + ... + 220015777.

It is an arithmetic number, because the mean of its divisors is an integer number (47014522884).

Almost surely, 22000122110112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2000122110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2256697098432).

2000122110112 is an abundant number, since it is smaller than the sum of its proper divisors (2513272086752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2000122110112 is a wasteful number, since it uses less digits than its factorization.

2000122110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11862 (or 11854 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2000122110112 its reverse (2110112210002), we get a palindrome (4110234320114).

The spelling of 2000122110112 in words is "two trillion, one hundred twenty-two million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 421 842 1684 2333 2947 3368 4666 5894 6736 9091 9332 11788 13472 16331 18182 18664 23576 32662 36364 37328 47152 63637 65324 72728 74656 94304 127274 130648 145456 254548 261296 290912 509096 522592 982193 1018192 1964386 2036384 3827311 3928772 6875351 7654622 7857544 13750702 15309244 15715088 21209303 26791177 27501404 30618488 31430176 42418606 53582354 55002808 61236976 84837212 107164708 110005616 122473952 148465121 169674424 214329416 220011232 296930242 339348848 428658832 593860484 678697696 857317664 1187720968 2375441936 4750883872 8929116563 17858233126 35716466252 62503815941 71432932504 125007631882 142865865008 250015263764 285731730016 500030527528 1000061055056 2000122110112