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121213213119 = 321731374316063
BaseRepresentation
bin111000011100011011…
…1101101100110111111
3102120212120001020000200
41300320313231212333
53441221040304434
6131403511454543
711520530211615
oct1607067554677
9376776036020
10121213213119
1147451776099
121b5aa087453
13b579656a5b
145c1c5156b5
153246751199
hex1c38ded9bf

121213213119 has 96 divisors (see below), whose sum is σ = 201120251904. Its totient is φ = 69942942720.

The previous prime is 121213213117. The next prime is 121213213127. The reversal of 121213213119 is 911312312121.

121213213119 is a `hidden beast` number, since 1 + 2 + 1 + 21 + 321 + 311 + 9 = 666.

It is not a de Polignac number, because 121213213119 - 21 = 121213213117 is a prime.

It is a super-2 number, since 2×1212132131192 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121213213092 and 121213213101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121213213111) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7538082 + ... + 7554144.

It is an arithmetic number, because the mean of its divisors is an integer number (2095002624).

Almost surely, 2121213213119 is an apocalyptic number.

121213213119 is a deficient number, since it is larger than the sum of its proper divisors (79907038785).

121213213119 is a wasteful number, since it uses less digits than its factorization.

121213213119 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16197 (or 16194 counting only the distinct ones).

The product of its digits is 648, while the sum is 27.

The spelling of 121213213119 in words is "one hundred twenty-one billion, two hundred thirteen million, two hundred thirteen thousand, one hundred nineteen".

Divisors: 1 3 9 17 31 37 43 51 93 111 129 153 279 333 387 527 629 731 1147 1333 1581 1591 1887 2193 3441 3999 4743 4773 5661 6579 10323 11997 14319 16063 19499 22661 27047 48189 49321 58497 67983 81141 144567 147963 175491 203949 243423 273071 443889 497953 594331 690709 819213 838457 1493859 1782993 2072127 2457639 2515371 4481577 5348979 6216381 7546113 8465201 10103627 11742053 18424261 21411979 25395603 25556233 30310881 35226159 55272783 64235937 76186809 76668699 90932643 105678477 165818349 192707811 230006097 313212437 364003643 434455961 792243223 939637311 1092010929 1303367883 2376729669 2818911933 3276032787 3910103649 7130189007 13468134791 40404404373 121213213119