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12129817328140 = 22531151491291453
BaseRepresentation
bin1011000010000011000101…
…1100111111101000001100
31120221121011211021122201211
42300200301130333220030
53042213331214000030
641444210001544204
72361231116052601
oct260406134775014
946847154248654
1012129817328140
113957254726956
12143aa0b345064
1369cab5796355
142dd12cad66a8
151607cebee12a
hexb083173fa0c

12129817328140 has 48 divisors (see below), whose sum is σ = 26296069766400. Its totient is φ = 4695099575040.

The previous prime is 12129817328113. The next prime is 12129817328143. The reversal of 12129817328140 is 4182371892121.

It is not an unprimeable number, because it can be changed into a prime (12129817328143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8746654 + ... + 10038106.

It is an arithmetic number, because the mean of its divisors is an integer number (547834786800).

Almost surely, 212129817328140 is an apocalyptic number.

12129817328140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12129817328140 is an abundant number, since it is smaller than the sum of its proper divisors (14166252438260).

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

12129817328140 is a wasteful number, since it uses less digits than its factorization.

12129817328140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1306642 (or 1306640 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 49.

The spelling of 12129817328140 in words is "twelve trillion, one hundred twenty-nine billion, eight hundred seventeen million, three hundred twenty-eight thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 15149 30298 60596 75745 151490 302980 469619 939238 1291453 1878476 2348095 2582906 4696190 5165812 6457265 9392380 12914530 25829060 40035043 80070086 160140172 200175215 400350430 800700860 19564221497 39128442994 78256885988 97821107485 195642214970 391284429940 606490866407 1212981732814 2425963465628 3032454332035 6064908664070 12129817328140