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12252006465211 = 295971100855331
BaseRepresentation
bin1011001001001010010001…
…1111100011111010111011
31121101021120101200221202001
42302102210133203322323
53101214102123341321
642020254415121431
72403115066432042
oct262224437437273
947337511627661
1012252006465211
1139a4057271067
12145a630213277
136ab48937a7a6
14305000a8d559
15163a81e77c91
hexb24a47e3ebb

12252006465211 has 16 divisors (see below), whose sum is σ = 13070851027200. Its totient is φ = 11465233914400.

The previous prime is 12252006465157. The next prime is 12252006465277. The reversal of 12252006465211 is 11256460025221.

It is a de Polignac number, because none of the positive numbers 2k-12252006465211 is a prime.

It is a super-2 number, since 2×122520064652112 (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 (12252006463211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50306185 + ... + 50549146.

It is an arithmetic number, because the mean of its divisors is an integer number (816928189200).

Almost surely, 212252006465211 is an apocalyptic number.

12252006465211 is a deficient number, since it is larger than the sum of its proper divisors (818844561989).

12252006465211 is a wasteful number, since it uses less digits than its factorization.

12252006465211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100855490.

The product of its (nonzero) digits is 57600, while the sum is 37.

The spelling of 12252006465211 in words is "twelve trillion, two hundred fifty-two billion, six million, four hundred sixty-five thousand, two hundred eleven".

Divisors: 1 29 59 71 1711 2059 4189 121481 100855331 2924804599 5950464529 7160728501 172563471341 207661126529 422482981559 12252006465211