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12122012211101 = 1331234591282213
BaseRepresentation
bin1011000001100110000000…
…1110110101011110011101
31120220212000212120121222222
42300121200032311132131
53042101340111223401
641440435303115125
72360533522465412
oct260314016653635
946825025517888
1012122012211101
113953a09966a01
1214393b1442aa5
1369c1407383c0
142dc9cc27c109
151604c489bc1b
hexb06603b579d

12122012211101 has 16 divisors (see below), whose sum is σ = 13476171717120. Its totient is φ = 10828126474560.

The previous prime is 12122012211061. The next prime is 12122012211151. The reversal of 12122012211101 is 10111221022121.

12122012211101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12122012211101 - 214 = 12122012194717 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12122012211101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122012211151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8812871 + ... + 10095083.

It is an arithmetic number, because the mean of its divisors is an integer number (842260732320).

Almost surely, 212122012211101 is an apocalyptic number.

It is an amenable number.

12122012211101 is a deficient number, since it is larger than the sum of its proper divisors (1354159506019).

12122012211101 is a wasteful number, since it uses less digits than its factorization.

12122012211101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1305716.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 12122012211101 its reverse (10111221022121), we get a palindrome (22233233233222).

The spelling of 12122012211101 in words is "twelve trillion, one hundred twenty-two billion, twelve million, two hundred eleven thousand, one hundred one".

Divisors: 1 13 31 403 23459 304967 727229 1282213 9453977 16668769 39748603 516731839 30079434767 391032651971 932462477777 12122012211101