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12121022111381 is a prime number
BaseRepresentation
bin1011000001100010010100…
…1101111001111010010101
31120220202110212112100111222
42300120211031321322111
53042042323130031011
641440153133540125
72360500141000331
oct260304515717225
946822425470458
1012121022111381
113953550a95377
121439175944645
1369c013586591
142dc93698a7c1
151604679c3ddb
hexb0625379e95

12121022111381 has 2 divisors, whose sum is σ = 12121022111382. Its totient is φ = 12121022111380.

The previous prime is 12121022111369. The next prime is 12121022111389. The reversal of 12121022111381 is 18311122012121.

12121022111381 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6910805003281 + 5210217108100 = 2628841^2 + 2282590^2 .

It is a cyclic number.

It is not a de Polignac number, because 12121022111381 - 210 = 12121022110357 is a prime.

It is a super-2 number, since 2×121210221113812 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12121022111381.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12121022111389) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6060511055690 + 6060511055691.

It is an arithmetic number, because the mean of its divisors is an integer number (6060511055691).

Almost surely, 212121022111381 is an apocalyptic number.

It is an amenable number.

12121022111381 is a deficient number, since it is larger than the sum of its proper divisors (1).

12121022111381 is an equidigital number, since it uses as much as digits as its factorization.

12121022111381 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 384, while the sum is 26.

The spelling of 12121022111381 in words is "twelve trillion, one hundred twenty-one billion, twenty-two million, one hundred eleven thousand, three hundred eighty-one".