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12201434212441 = 41273402724691
BaseRepresentation
bin1011000110001101111000…
…1001101110100001011001
31121012110000221002022220011
42301203132021232201121
53044402014124244231
641541132252201521
72366344625403625
oct261433611564131
947173027068804
1012201434212441
113984665582041
1214508777692a1
136a6789ba8976
143027a435a185
151625c22469b1
hexb18de26e859

12201434212441 has 24 divisors (see below), whose sum is σ = 12681269358752. Its totient is φ = 11737381075200.

The previous prime is 12201434212423. The next prime is 12201434212459. The reversal of 12201434212441 is 14421243410221.

12201434212441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12201434212423) and next prime (12201434212459).

It is not a de Polignac number, because 12201434212441 - 211 = 12201434210393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12201434212141) 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, 494152906 + ... + 494177596.

Almost surely, 212201434212441 is an apocalyptic number.

It is an amenable number.

12201434212441 is a deficient number, since it is larger than the sum of its proper divisors (479835146311).

12201434212441 is an equidigital number, since it uses as much as digits as its factorization.

12201434212441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28873 (or 28832 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

Adding to 12201434212441 its reverse (14421243410221), we get a palindrome (26622677622662).

The spelling of 12201434212441 in words is "twelve trillion, two hundred one billion, four hundred thirty-four million, two hundred twelve thousand, four hundred forty-one".

Divisors: 1 41 73 1681 2993 4027 24691 122713 165107 293971 1012331 1802443 6769387 12052811 41505571 73900163 99430657 494165251 3029906683 4076656937 7258437961 167142934417 297595956401 12201434212441