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12258156420 = 2232568100869
BaseRepresentation
bin10110110101010010…
…01001111110000100
31011122021212212101100
423122221021332010
5200101042001140
65344210500100
7612524416236
oct133251117604
934567785340
1012258156420
115220456394
122461294630
1312047a18c3
1484401c256
154bb266530
hex2daa49f84

12258156420 has 36 divisors (see below), whose sum is σ = 37183075020. Its totient is φ = 3268841664.

The previous prime is 12258156397. The next prime is 12258156437. The reversal of 12258156420 is 2465185221.

12258156420 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 8 + 1 + 5 + 642 + 0 = 666.

12258156420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 7796183616 + 4461972804 = 88296^2 + 66798^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34050255 + ... + 34050614.

It is an arithmetic number, because the mean of its divisors is an integer number (1032863195).

Almost surely, 212258156420 is an apocalyptic number.

12258156420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12258156420 is an abundant number, since it is smaller than the sum of its proper divisors (24924918600).

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

12258156420 is a wasteful number, since it uses less digits than its factorization.

12258156420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68100884 (or 68100879 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 12258156420 in words is "twelve billion, two hundred fifty-eight million, one hundred fifty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 68100869 136201738 204302607 272403476 340504345 408605214 612907821 681008690 817210428 1021513035 1225815642 1362017380 2043026070 2451631284 3064539105 4086052140 6129078210 12258156420