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122101212112 = 2411739503519
BaseRepresentation
bin111000110110111001…
…1001010001111010000
3102200011102222020122021
41301231303022033100
54000030402241422
6132031552421224
711551532115145
oct1615563121720
9380142866567
10122101212112
1147867a50960
121b7b7547814
13b68b60ab49
145ca442a3cc
1532996abdc7
hex1c6dcca3d0

122101212112 has 40 divisors (see below), whose sum is σ = 261612898560. Its totient is φ = 54740263680.

The previous prime is 122101212091. The next prime is 122101212113. The reversal of 122101212112 is 211212101221.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122101212113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4738912 + ... + 4764607.

It is an arithmetic number, because the mean of its divisors is an integer number (6540322464).

Almost surely, 2122101212112 is an apocalyptic number.

It is an amenable number.

122101212112 is an abundant number, since it is smaller than the sum of its proper divisors (139511686448).

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

122101212112 is a wasteful number, since it uses less digits than its factorization.

122101212112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9503611 (or 9503605 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 122101212112 its reverse (211212101221), we get a palindrome (333313313333).

The spelling of 122101212112 in words is "one hundred twenty-two billion, one hundred one million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 73 88 146 176 292 584 803 1168 1606 3212 6424 12848 9503519 19007038 38014076 76028152 104538709 152056304 209077418 418154836 693756887 836309672 1387513774 1672619344 2775027548 5550055096 7631325757 11100110192 15262651514 30525303028 61050606056 122101212112