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122121212103 = 32113797014643
BaseRepresentation
bin111000110111011111…
…1011101000011000111
3102200012211121100110200
41301232333131003013
54000101012241403
6132033545221543
711552164114152
oct1615677350307
9380184540420
10122121212103
1147878271180
121b8021918b3
13b6927c1267
145ca6d54c99
15329b30cca3
hex1c6efdd0c7

122121212103 has 48 divisors (see below), whose sum is σ = 193258016640. Its totient is φ = 73696392000.

The previous prime is 122121212051. The next prime is 122121212111. The reversal of 122121212103 is 301212121221.

It is not a de Polignac number, because 122121212103 - 26 = 122121212039 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122121212173) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 26299900 + ... + 26304542.

It is an arithmetic number, because the mean of its divisors is an integer number (4026208680).

Almost surely, 2122121212103 is an apocalyptic number.

122121212103 is a deficient number, since it is larger than the sum of its proper divisors (71136804537).

122121212103 is a wasteful number, since it uses less digits than its factorization.

122121212103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5740 (or 5737 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 122121212103 its reverse (301212121221), we get a palindrome (423333333324).

The spelling of 122121212103 in words is "one hundred twenty-two billion, one hundred twenty-one million, two hundred twelve thousand, one hundred three".

Divisors: 1 3 9 11 33 99 379 701 1137 2103 3411 4169 4643 6309 7711 12507 13929 23133 37521 41787 51073 69399 153219 265679 459657 797037 1759697 2391111 2922469 3254743 5279091 8767407 9764229 15837273 19356667 26302221 29292687 35802173 58070001 107406519 174210003 322219557 1233547597 3700642791 11101928373 13569023567 40707070701 122121212103