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123232131120000 = 273547107685537
BaseRepresentation
bin11100000001010000110111…
…011001100111101110000000
3121011022212200002201000022110
4130001100313121213232000
5112123013401031320000
61114032020503535320
734646141042333040
oct3401206731475600
9534285602630273
10123232131120000
11362a14a93a9111
12119a326745a540
13539b981006686
14226067751d720
15e3a83d0aa850
hex701437667b80

123232131120000 has 640 divisors, whose sum is σ = 471841875267840. Its totient is φ = 27904057344000.

The previous prime is 123232131119989. The next prime is 123232131120001. The reversal of 123232131120000 is 21131232321.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123232131120001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 179417232 + ... + 180102768.

It is an arithmetic number, because the mean of its divisors is an integer number (737252930106).

Almost surely, 2123232131120000 is an apocalyptic number.

123232131120000 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 123232131120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235920937633920).

123232131120000 is an abundant number, since it is smaller than the sum of its proper divisors (348609744147840).

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

123232131120000 is an equidigital number, since it uses as much as digits as its factorization.

123232131120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685688 (or 685661 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 123232131120000 its reverse (21131232321), we get a palindrome (123253262352321).

The spelling of 123232131120000 in words is "one hundred twenty-three trillion, two hundred thirty-two billion, one hundred thirty-one million, one hundred twenty thousand".