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12146366364121 = 113972832779417
BaseRepresentation
bin1011000011000000101111…
…0110100011100111011001
31121000011220011012210022101
42300300023312203213121
53043001224242122441
641455544053123401
72362355165411113
oct260601366434731
947004804183271
1012146366364121
1139632771805a0
121442069629561
136a1522213032
142ddc5c9463b3
15160e4c9e7231
hexb0c0bda39d9

12146366364121 has 8 divisors (see below), whose sum is σ = 13250619608544. Its totient is φ = 11042119473120.

The previous prime is 12146366364059. The next prime is 12146366364157.

12146366364121 is nontrivially palindromic in base 10.

12146366364121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12146366364121 - 227 = 12146232146393 is a prime.

It is a super-2 number, since 2×121463663641212 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12146166364121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2980405 + ... + 5759821.

It is an arithmetic number, because the mean of its divisors is an integer number (1656327451068).

Almost surely, 212146366364121 is an apocalyptic number.

12146366364121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12146366364121 is a deficient number, since it is larger than the sum of its proper divisors (1104253244423).

12146366364121 is a wasteful number, since it uses less digits than its factorization.

12146366364121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3176711.

The product of its digits is 746496, while the sum is 46.

It can be divided in two parts, 1214636 and 6364121, that added together give a palindrome (7578757).

The spelling of 12146366364121 in words is "twelve trillion, one hundred forty-six billion, three hundred sixty-six million, three hundred sixty-four thousand, one hundred twenty-one".

Divisors: 1 11 397283 2779417 4370113 30573587 1104215124011 12146366364121