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12121211002113 = 3417113143354361
BaseRepresentation
bin1011000001100011000001…
…1110011101110100000001
31120220202222000221222220000
42300120300132131310001
53042043220004031423
641440224002310213
72360504623355223
oct260306036356401
946822860858800
1012121211002113
11395363867a814
121439209058369
1369c043751145
142dc953aba413
15160479386843
hexb063079dd01

12121211002113 has 80 divisors (see below), whose sum is σ = 19355629675536. Its totient is φ = 7532761743360.

The previous prime is 12121211002111. The next prime is 12121211002127. The reversal of 12121211002113 is 31120011212121.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 23252285169 + 12097958716944 = 152487^2 + 3478212^2 .

It is not a de Polignac number, because 12121211002113 - 21 = 12121211002111 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12121211002111) 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 79 ways as a sum of consecutive naturals, for example, 222949053 + ... + 223003413.

Almost surely, 212121211002113 is an apocalyptic number.

It is an amenable number.

12121211002113 is a deficient number, since it is larger than the sum of its proper divisors (7234418673423).

12121211002113 is a wasteful number, since it uses less digits than its factorization.

12121211002113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55936 (or 55927 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 12121211002113 its reverse (31120011212121), we get a palindrome (43241222214234).

The spelling of 12121211002113 in words is "twelve trillion, one hundred twenty-one billion, two hundred eleven million, two thousand, one hundred thirteen".

Divisors: 1 3 9 17 27 51 81 113 153 339 459 1017 1377 1433 1921 3051 4299 5763 9153 12897 17289 24361 38691 51867 54361 73083 116073 155601 161929 163083 219249 485787 489249 657747 924137 1457361 1467747 1973241 2752793 2772411 4372083 4403241 6142793 8258379 8317233 13116249 18428379 24775137 24951699 55285137 74325411 74855097 77899313 104427481 165855411 222976233 233697939 313282443 497566233 701093817 939847329 1324288321 2103281451 2819541987 3972864963 6309844353 8458625961 8802622369 11918594889 26407867107 35755784667 79223601321 107267354001 149644580273 237670803963 448933740819 713012411889 1346801222457 4040403667371 12121211002113