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12420211189825 = 5217181397406697
BaseRepresentation
bin1011010010111100111001…
…0001101010100001000001
31121222100201212120022000101
42310233032101222201001
53111443043031033300
642225433302122401
72421221261131135
oct264571621524101
947870655508011
1012420211189825
113a5942247126a
121487153720401
136c12b43aa13a
1430d1da11d3c5
15168128d9eb6a
hexb4bce46a841

12420211189825 has 48 divisors (see below), whose sum is σ = 16438443591024. Its totient is φ = 9276573081600.

The previous prime is 12420211189783. The next prime is 12420211189831. The reversal of 12420211189825 is 52898111202421.

It is a Cunningham number, because it is equal to 35242322+1.

It can be written as a sum of positive squares in 24 ways, for example, as 9881963186481 + 2538248003344 = 3143559^2 + 1593188^2 .

It is not a de Polignac number, because 12420211189825 - 27 = 12420211189697 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30335877 + ... + 30742573.

It is an arithmetic number, because the mean of its divisors is an integer number (342467574813).

Almost surely, 212420211189825 is an apocalyptic number.

It is an amenable number.

12420211189825 is a deficient number, since it is larger than the sum of its proper divisors (4018232401199).

12420211189825 is a wasteful number, since it uses less digits than its factorization.

12420211189825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407302 (or 407297 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 46.

The spelling of 12420211189825 in words is "twelve trillion, four hundred twenty billion, two hundred eleven million, one hundred eighty-nine thousand, eight hundred twenty-five".

Divisors: 1 5 17 25 85 181 397 425 905 1985 3077 4525 6749 9925 15385 33745 71857 76925 168725 359285 406697 1221569 1796425 2033485 6107845 6913849 10167425 30539225 34569245 73612157 161458709 172846225 368060785 807293545 1251406669 1840303925 2744798053 4036467725 6257033345 13723990265 29224026329 31285166725 68619951325 146120131645 496808447593 730600658225 2484042237965 12420211189825