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12121012122102 = 2321394195499437
BaseRepresentation
bin1011000001100010010010…
…0111110011000111110110
31120220202110011201211210200
42300120210213303013312
53042042313100401402
641440152135501330
72360466660044142
oct260304447630766
946822404654720
1012121012122102
113953546392274
121439172527846
1369c011499870
142dc93550a222
15160466b9e21c
hexb06249f31f6

12121012122102 has 48 divisors (see below), whose sum is σ = 28285369454160. Its totient is φ = 3729145553856.

The previous prime is 12121012122101. The next prime is 12121012122169. The reversal of 12121012122102 is 20122121012121.

12121012122102 is a `hidden beast` number, since 121 + 210 + 121 + 2 + 210 + 2 = 666.

12121012122102 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).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12121012122101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 545673 + ... + 4953764.

It is an arithmetic number, because the mean of its divisors is an integer number (589278530295).

Almost surely, 212121012122102 is an apocalyptic number.

12121012122102 is an abundant number, since it is smaller than the sum of its proper divisors (16164357332058).

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

12121012122102 is a wasteful number, since it uses less digits than its factorization.

12121012122102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5508877 (or 5508874 counting only the distinct ones).

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

Adding to 12121012122102 its reverse (20122121012121), we get a palindrome (32243133134223).

The spelling of 12121012122102 in words is "twelve trillion, one hundred twenty-one billion, twelve million, one hundred twenty-two thousand, one hundred two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 9419 18838 28257 56514 84771 122447 169542 244894 367341 734682 1102023 2204046 5499437 10998874 16498311 32996622 49494933 71492681 98989866 142985362 214478043 428956086 643434129 1286868258 51799197103 103598394206 155397591309 310795182618 466192773927 673389562339 932385547854 1346779124678 2020168687017 4040337374034 6060506061051 12121012122102