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12030013320129 = 327244273616153
BaseRepresentation
bin1010111100001111010010…
…1010111010101111000001
31120121001120022102201221200
42233003310222322233001
53034044431402221004
641330302315411413
72351065642016400
oct257036452725701
946531508381850
1012030013320129
113918999996502
1214235b7153b69
1369356b7697cc
142d8381ad3637
1515cddcccb239
hexaf0f4ababc1

12030013320129 has 36 divisors (see below), whose sum is σ = 20214185227236. Its totient is φ = 6874126898688.

The previous prime is 12030013320097. The next prime is 12030013320163. The reversal of 12030013320129 is 92102331003021.

12030013320129 is a `hidden beast` number, since 1 + 2 + 0 + 300 + 1 + 332 + 0 + 1 + 29 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1170187389504 + 10859825930625 = 1081752^2 + 3295425^2 .

It is not a de Polignac number, because 12030013320129 - 25 = 12030013320097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12030013330129) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19216317 + ... + 19832469.

It is an arithmetic number, because the mean of its divisors is an integer number (561505145201).

Almost surely, 212030013320129 is an apocalyptic number.

It is an amenable number.

12030013320129 is a deficient number, since it is larger than the sum of its proper divisors (8184171907107).

12030013320129 is a wasteful number, since it uses less digits than its factorization.

12030013320129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660446 (or 660436 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 12030013320129 in words is "twelve trillion, thirty billion, thirteen million, three hundred twenty thousand, one hundred twenty-nine".

Divisors: 1 3 7 9 21 49 63 147 441 44273 132819 309911 398457 616153 929733 1848459 2169377 2789199 4313071 5545377 6508131 12939213 19524393 30191497 38817639 90574491 271723473 27278941769 81836825307 190952592383 245510475921 572857777149 1336668146681 1718573331447 4010004440043 12030013320129