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12012012211122 = 23271155717219041
BaseRepresentation
bin1010111011001100001110…
…1110001000101110110010
31120112100002210011122122200
42232303003232020232302
53033301100111223442
641314124153244030
72346560601065130
oct256630356105662
946470083148580
1012012012211122
1139112a1816910
121420012703616
1369196023b511
142d7555098750
1515c6d77a434c
hexaecc3b88bb2

12012012211122 has 192 divisors, whose sum is σ = 32528773525248. Its totient is φ = 3112247808000.

The previous prime is 12012012211117. The next prime is 12012012211163. The reversal of 12012012211122 is 22111221021021.

12012012211122 is a `hidden beast` number, since 120 + 1 + 201 + 221 + 1 + 122 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12012012211095 and 12012012211104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1328610922 + ... + 1328619962.

It is an arithmetic number, because the mean of its divisors is an integer number (169420695444).

Almost surely, 212012012211122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12012012211122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16264386762624).

12012012211122 is an abundant number, since it is smaller than the sum of its proper divisors (20516761314126).

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

12012012211122 is a wasteful number, since it uses less digits than its factorization.

12012012211122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11345 (or 11342 counting only the distinct ones).

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

Adding to 12012012211122 its reverse (22111221021021), we get a palindrome (34123233232143).

The spelling of 12012012211122 in words is "twelve trillion, twelve billion, twelve million, two hundred eleven thousand, one hundred twenty-two".