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12030233022120 = 23357139718231951
BaseRepresentation
bin1010111100010000000111…
…0001000000111010101000
31120121002010121211202102110
42233010001301000322220
53034100404123201440
641330340204402320
72351104250322105
oct257040161007250
946532117752373
1012030233022120
113918aa1a058a5
1214236588463a0
136935a51316a1
142d83a2d63aac
1515ce02228080
hexaf101c40ea8

12030233022120 has 256 divisors, whose sum is σ = 36730151239680. Its totient is φ = 3151564416000.

The previous prime is 12030233022113. The next prime is 12030233022127. The reversal of 12030233022120 is 2122033203021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12030233022113) and next prime (12030233022127).

It is not an unprimeable number, because it can be changed into a prime (12030233022127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6166187145 + ... + 6166189095.

It is an arithmetic number, because the mean of its divisors is an integer number (143477153280).

Almost surely, 212030233022120 is an apocalyptic number.

12030233022120 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 12030233022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18365075619840).

12030233022120 is an abundant number, since it is smaller than the sum of its proper divisors (24699918217560).

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

12030233022120 is a wasteful number, since it uses less digits than its factorization.

12030233022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4256 (or 4252 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 12030233022120 its reverse (2122033203021), we get a palindrome (14152266225141).

The spelling of 12030233022120 in words is "twelve trillion, thirty billion, two hundred thirty-three million, twenty-two thousand, one hundred twenty".