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12122202122120 = 2351861162845273
BaseRepresentation
bin1011000001100110101110…
…0011010010011110001000
31120220212112002221002221102
42300121223203102132020
53042102232220401440
641440510205400532
72360541316633016
oct260315343223610
946825462832842
1012122202122120
113953aa7088962
121439444b69148
1369c170b9c49c
142dca095958b6
151604d63b1b15
hexb066b8d2788

12122202122120 has 32 divisors (see below), whose sum is σ = 27289611016920. Its totient is φ = 4846275294720.

The previous prime is 12122202122111. The next prime is 12122202122189. The reversal of 12122202122120 is 2122120222121.

It can be written as a sum of positive squares in 4 ways, for example, as 8443685263204 + 3678516858916 = 2905802^2 + 1917946^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12122202122092 and 12122202122101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81348197 + ... + 81497076.

Almost surely, 212122202122120 is an apocalyptic number.

12122202122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122202122120 is an abundant number, since it is smaller than the sum of its proper divisors (15167408894800).

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

12122202122120 is a wasteful number, since it uses less digits than its factorization.

12122202122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162847145 (or 162847141 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 12122202122120 its reverse (2122120222121), we get a palindrome (14244322344241).

The spelling of 12122202122120 in words is "twelve trillion, one hundred twenty-two billion, two hundred two million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 1861 3722 7444 9305 14888 18610 37220 74440 162845273 325690546 651381092 814226365 1302762184 1628452730 3256905460 6513810920 303055053053 606110106106 1212220212212 1515275265265 2424440424424 3030550530530 6061101061060 12122202122120