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12010208307120 = 24325471492381957
BaseRepresentation
bin1010111011000101100000…
…1100110010011110110000
31120112011110001210211120100
42232301120030302132300
53033233401311311440
641313225153312400
72346465105130602
oct256613014623660
946464401724510
1012010208307120
113910556536061
12141b7aa565700
136917335b24ba
142d7423687172
1515c62e229230
hexaec583327b0

12010208307120 has 240 divisors, whose sum is σ = 41468935996800. Its totient is φ = 3113540438016.

The previous prime is 12010208307107. The next prime is 12010208307121. The reversal of 12010208307120 is 2170380201021.

12010208307120 is a `hidden beast` number, since 1 + 20 + 10 + 208 + 307 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (12010208307121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3851182 + ... + 6233138.

It is an arithmetic number, because the mean of its divisors is an integer number (172787233320).

Almost surely, 212010208307120 is an apocalyptic number.

12010208307120 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 12010208307120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20734467998400).

12010208307120 is an abundant number, since it is smaller than the sum of its proper divisors (29458727689680).

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

12010208307120 is a wasteful number, since it uses less digits than its factorization.

12010208307120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2382172 (or 2382163 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

Adding to 12010208307120 its reverse (2170380201021), we get a palindrome (14180588508141).

The spelling of 12010208307120 in words is "twelve trillion, ten billion, two hundred eight million, three hundred seven thousand, one hundred twenty".