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12055011335325 = 3252756531353967
BaseRepresentation
bin1010111101101100011010…
…1010110001110010011101
31120200110002110121111010100
42233123012222301302131
53040002130400212300
641345555025531313
72352642263443230
oct257330652616235
946613073544110
1012055011335325
1139285576972a2
121428412aa3b39
13695a2375978a
142d9673ac1417
1515d8a270a700
hexaf6c6ab1c9d

12055011335325 has 72 divisors (see below), whose sum is σ = 24680800272128. Its totient is φ = 5509883399040.

The previous prime is 12055011335299. The next prime is 12055011335417. The reversal of 12055011335325 is 52353311055021.

12055011335325 is a `hidden beast` number, since 1 + 2 + 0 + 5 + 5 + 0 + 113 + 3 + 532 + 5 = 666.

It is not a de Polignac number, because 12055011335325 - 27 = 12055011335197 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12055011335325.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8226492 + ... + 9580458.

Almost surely, 212055011335325 is an apocalyptic number.

12055011335325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12055011335325 is an abundant number, since it is smaller than the sum of its proper divisors (12625788936803).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12055011335325 is a wasteful number, since it uses less digits than its factorization.

12055011335325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359643 (or 1359635 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 36.

The spelling of 12055011335325 in words is "twelve trillion, fifty-five billion, eleven million, three hundred thirty-five thousand, three hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 175 225 315 525 1575 5653 16959 28265 39571 50877 84795 118713 141325 197855 254385 356139 423975 593565 989275 1271925 1353967 1780695 2967825 4061901 6769835 8903475 9477769 12185703 20309505 28433307 33849175 47388845 60928515 85299921 101547525 142166535 236944225 304642575 426499605 710832675 2132498025 7653975451 22961926353 38269877255 53577828157 68885779059 114809631765 160733484471 191349386275 267889140785 344428895295 482200453413 574048158825 803667422355 1339445703925 1722144476475 2411002267065 4018337111775 12055011335325