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12000123303210 = 237571491792939
BaseRepresentation
bin1010111010011111111100…
…0101100011010100101010
31120111012102020002120000000
42232213333011203110222
53033102223031200320
641304440332523430
72345660146042050
oct256477705432452
946435366076000
1012000123303210
113907250842389
121419855020576
136907b7102173
142d6b481181d0
1515c23db79c90
hexae9ff16352a

12000123303210 has 512 divisors, whose sum is σ = 37492761600000. Its totient is φ = 2708334330624.

The previous prime is 12000123303197. The next prime is 12000123303221. The reversal of 12000123303210 is 1230332100021.

12000123303210 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 0 + 12 + 330 + 321 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4083061921 + ... + 4083064859.

It is an arithmetic number, because the mean of its divisors is an integer number (73228050000).

Almost surely, 212000123303210 is an apocalyptic number.

12000123303210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12000123303210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18746380800000).

12000123303210 is an abundant number, since it is smaller than the sum of its proper divisors (25492638296790).

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

12000123303210 is a wasteful number, since it uses less digits than its factorization.

12000123303210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3302 (or 3284 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12000123303210 its reverse (1230332100021), we get a palindrome (13230455403231).

The spelling of 12000123303210 in words is "twelve trillion, one hundred twenty-three million, three hundred three thousand, two hundred ten".