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12131231132000 = 25536581460843
BaseRepresentation
bin1011000010001000010110…
…1110001110100101100000
31120221201211100121100000202
42300202011232032211200
53042224230132211000
641445002144404332
72361311134150001
oct260420556164540
946851740540022
1012131231132000
11395790a7936a2
12143b1449166a8
1369cc7c668b96
142dd22479d1a8
15160863dbddd5
hexb0885b8e960

12131231132000 has 96 divisors (see below), whose sum is σ = 29811028744224. Its totient is φ = 4851744576000.

The previous prime is 12131231131991. The next prime is 12131231132017. The reversal of 12131231132000 is 23113213121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26093579 + ... + 26554421.

It is an arithmetic number, because the mean of its divisors is an integer number (310531549419).

Almost surely, 212131231132000 is an apocalyptic number.

12131231132000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12131231132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14905514372112).

12131231132000 is an abundant number, since it is smaller than the sum of its proper divisors (17679797612224).

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

12131231132000 is an equidigital number, since it uses as much as digits as its factorization.

12131231132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467449 (or 467431 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 12131231132000 its reverse (23113213121), we get a palindrome (12154344345121).

The spelling of 12131231132000 in words is "twelve trillion, one hundred thirty-one billion, two hundred thirty-one million, one hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 6581 13162 26324 32905 52648 65810 105296 131620 164525 210592 263240 329050 460843 526480 658100 822625 921686 1052960 1316200 1645250 1843372 2304215 2632400 3290500 3686744 4608430 5264800 6581000 7373488 9216860 11521075 13162000 14746976 18433720 23042150 26324000 36867440 46084300 57605375 73734880 92168600 115210750 184337200 230421500 368674400 460843000 921686000 1843372000 3032807783 6065615566 12131231132 15164038915 24262462264 30328077830 48524924528 60656155660 75820194575 97049849056 121312311320 151640389150 242624622640 303280778300 379100972875 485249245280 606561556600 758201945750 1213123113200 1516403891500 2426246226400 3032807783000 6065615566000 12131231132000