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13121212011201 = 327231678990081
BaseRepresentation
bin1011111011110000010100…
…1011100101001011000001
31201110101010211021200120200
42332330011023211023001
53204434220233324301
643523445050355413
72522655602606220
oct276740513451301
951411124250520
1013121212011201
1141a9747124868
12157ab8b42bb69
1374242bcb1078
143350da306cb7
1517b4a5c4bc86
hexbef052e52c1

13121212011201 has 24 divisors (see below), whose sum is σ = 21661350856704. Its totient is φ = 7497510958080.

The previous prime is 13121212011179. The next prime is 13121212011223. The reversal of 13121212011201 is 10211021212131.

It is a happy number.

13121212011201 is a `hidden beast` number, since 1 + 312 + 121 + 20 + 11 + 201 = 666.

13121212011201 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 (13121212011179) and next prime (13121212011223).

It is not a de Polignac number, because 13121212011201 - 26 = 13121212011137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13121212011241) 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, 3035520 + ... + 5954561.

It is an arithmetic number, because the mean of its divisors is an integer number (902556285696).

Almost surely, 213121212011201 is an apocalyptic number.

It is an amenable number.

13121212011201 is a deficient number, since it is larger than the sum of its proper divisors (8540138845503).

13121212011201 is a wasteful number, since it uses less digits than its factorization.

13121212011201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9013261 (or 9013258 counting only the distinct ones).

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

Adding to 13121212011201 its reverse (10211021212131), we get a palindrome (23332233223332).

The spelling of 13121212011201 in words is "thirteen trillion, one hundred twenty-one billion, two hundred twelve million, eleven thousand, two hundred one".

Divisors: 1 3 7 9 21 63 23167 69501 162169 208503 486507 1459521 8990081 26970243 62930567 80910729 188791701 566375103 208273206527 624819619581 1457912445689 1874458858743 4373737337067 13121212011201