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12122120111022 = 232673451117279
BaseRepresentation
bin1011000001100110011010…
…1010011100001110101110
31120220212022101121111212100
42300121212222130032232
53042102100222023042
641440454115515530
72360536302562425
oct260314652341656
946825271544770
1012122120111022
113953a64863799
1214394215b8ba6
1369c159bb68cc
142dc9dc7282bc
151604ce0b224c
hexb0666a9c3ae

12122120111022 has 12 divisors (see below), whose sum is σ = 26264593573920. Its totient is φ = 4040706703668.

The previous prime is 12122120110979. The next prime is 12122120111039. The reversal of 12122120111022 is 22011102122121.

12122120111022 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 673451117279 = 12122120111022 / (1 + 2 + 1 + 2 + 2 + 1 + 2 + 0 + 1 + 1 + 1 + 0 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 12122120110986 and 12122120111004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 336725558622 + ... + 336725558657.

It is an arithmetic number, because the mean of its divisors is an integer number (2188716131160).

Almost surely, 212122120111022 is an apocalyptic number.

12122120111022 is an abundant number, since it is smaller than the sum of its proper divisors (14142473462898).

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

12122120111022 is a wasteful number, since it uses less digits than its factorization.

12122120111022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673451117287 (or 673451117284 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12122120111022 its reverse (22011102122121), we get a palindrome (34133222233143).

The spelling of 12122120111022 in words is "twelve trillion, one hundred twenty-two billion, one hundred twenty million, one hundred eleven thousand, twenty-two".

Divisors: 1 2 3 6 9 18 673451117279 1346902234558 2020353351837 4040706703674 6061060055511 12122120111022