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12140121314232 = 23321062715866453
BaseRepresentation
bin1011000010101001011110…
…0111100101001110111000
31120222120202221001101101100
42300222113213211032320
53042400432024023412
641453032244051400
72362044344355432
oct260522747451670
946876687041340
1012140121314232
113960661a9813a
121440a06093b60
136a0a68448a42
142dd829389652
15160bd4606edc
hexb0a979e53b8

12140121314232 has 48 divisors (see below), whose sum is σ = 32882591256840. Its totient is φ = 4046326054848.

The previous prime is 12140121314231. The next prime is 12140121314257. The reversal of 12140121314232 is 23241312104121.

12140121314232 is a `hidden beast` number, since 1 + 2 + 1 + 401 + 2 + 13 + 14 + 232 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12140121314196 and 12140121314205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12140121314231) 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 11 ways as a sum of consecutive naturals, for example, 7168083 + ... + 8698370.

Almost surely, 212140121314232 is an apocalyptic number.

12140121314232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12140121314232 is an abundant number, since it is smaller than the sum of its proper divisors (20742469942608).

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

12140121314232 is a wasteful number, since it uses less digits than its factorization.

12140121314232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15877092 (or 15877085 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 12140121314232 its reverse (23241312104121), we get a palindrome (35381433418353).

The spelling of 12140121314232 in words is "twelve trillion, one hundred forty billion, one hundred twenty-one million, three hundred fourteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 10627 21254 31881 42508 63762 85016 95643 127524 191286 255048 382572 765144 15866453 31732906 47599359 63465812 95198718 126931624 142798077 190397436 285596154 380794872 571192308 1142384616 168612796031 337225592062 505838388093 674451184124 1011676776186 1348902368248 1517515164279 2023353552372 3035030328558 4046707104744 6070060657116 12140121314232