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12023202300000 = 25355148127061
BaseRepresentation
bin1010111011110101111010…
…1100111100000001100000
31120120101222122022001210220
42232331132230330001200
53033442004242100000
641323214411523040
72350435106216013
oct256753654740140
946511878261726
1012023202300000
113916014288251
121422216159480
13692a2465cb98
142d7cd72cb37a
1515cb3ed911a0
hexaef5eb3c060

12023202300000 has 288 divisors, whose sum is σ = 39476702891808. Its totient is φ = 3203904000000.

The previous prime is 12023202299993. The next prime is 12023202300017. The reversal of 12023202300000 is 320232021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 444286470 + ... + 444313530.

It is an arithmetic number, because the mean of its divisors is an integer number (137071885041).

Almost surely, 212023202300000 is an apocalyptic number.

12023202300000 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 12023202300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19738351445904).

12023202300000 is an abundant number, since it is smaller than the sum of its proper divisors (27453500591808).

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

12023202300000 is an equidigital number, since it uses as much as digits as its factorization.

12023202300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28580 (or 28552 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 12023202300000 its reverse (320232021), we get a palindrome (12023522532021).

The spelling of 12023202300000 in words is "twelve trillion, twenty-three billion, two hundred two million, three hundred thousand".