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12126036141252 = 2234113402367043
BaseRepresentation
bin1011000001110101000000…
…0100111010010011000100
31120221020102022022110110000
42300131100010322103010
53042133110223010002
641442342450001300
72361035323360245
oct260352004722304
946836368273400
1012126036141252
113955694305210
12143a134b76230
1369c6322b8067
142dcc90860ccc
1516065cc9c61c
hexb075013a4c4

12126036141252 has 60 divisors (see below), whose sum is σ = 34581658635216. Its totient is φ = 3674556405360.

The previous prime is 12126036141227. The next prime is 12126036141397. The reversal of 12126036141252 is 25214163062121.

12126036141252 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 6 + 0 + 361 + 41 + 252 = 666.

It is a super-2 number, since 2×121260361412522 (a number of 27 digits) contains 22 as substring.

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 19 ways as a sum of consecutive naturals, for example, 1701179958 + ... + 1701187085.

Almost surely, 212126036141252 is an apocalyptic number.

12126036141252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12126036141252 is an abundant number, since it is smaller than the sum of its proper divisors (22455622493964).

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

12126036141252 is a wasteful number, since it uses less digits than its factorization.

12126036141252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3402367070 (or 3402367059 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 12126036141252 in words is "twelve trillion, one hundred twenty-six billion, thirty-six million, one hundred forty-one thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 297 324 396 594 891 1188 1782 3564 3402367043 6804734086 10207101129 13609468172 20414202258 30621303387 37426037473 40828404516 61242606774 74852074946 91863910161 112278112419 122485213548 149704149892 183727820322 224556224838 275591730483 336834337257 367455640644 449112449676 551183460966 673668674514 1010503011771 1102366921932 1347337349028 2021006023542 3031509035313 4042012047084 6063018070626 12126036141252