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12355000505121 = 331307423432139
BaseRepresentation
bin1011001111001001111101…
…1010101001001100100001
31121202010102020011021121210
42303302133122221030201
53104411020112130441
642135450414540333
72413422300350631
oct263623732511441
947663366137553
1012355000505121
113a337a976670a
1214765948076a9
136b80c1265981
14309db16046c1
151665ade7a616
hexb3c9f6a9321

12355000505121 has 16 divisors (see below), whose sum is σ = 17004826542080. Its totient is φ = 7970923694160.

The previous prime is 12355000505087. The next prime is 12355000505147. The reversal of 12355000505121 is 12150500055321.

It is not a de Polignac number, because 12355000505121 - 222 = 12354996310817 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12355000505171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28374270 + ... + 28806408.

It is an arithmetic number, because the mean of its divisors is an integer number (1062801658880).

Almost surely, 212355000505121 is an apocalyptic number.

It is an amenable number.

12355000505121 is a deficient number, since it is larger than the sum of its proper divisors (4649826036959).

12355000505121 is a wasteful number, since it uses less digits than its factorization.

12355000505121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739596.

The product of its (nonzero) digits is 7500, while the sum is 30.

The spelling of 12355000505121 in words is "twelve trillion, three hundred fifty-five billion, five hundred five thousand, one hundred twenty-one".

Divisors: 1 3 31 93 307423 432139 922269 1296417 9530113 13396309 28590339 40188927 132849467797 398548403391 4118333501707 12355000505121