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12001223022120 = 2333531508170549
BaseRepresentation
bin1010111010100100000010…
…1000101001011000101000
31120111022020212102001202000
42232221000220221120220
53033112001043201440
641305141415411000
72346026331354453
oct256510050513050
946438225361660
1012001223022120
113907765585492
121419b01383a60
13690930bb4c07
142d6c101c249a
1515c2a54a7730
hexaea40a29628

12001223022120 has 256 divisors, whose sum is σ = 41303243520000. Its totient is φ = 3096436377600.

The previous prime is 12001223022079. The next prime is 12001223022121. The reversal of 12001223022120 is 2122032210021.

12001223022120 is a `hidden beast` number, since 1 + 200 + 1 + 223 + 0 + 221 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12001223022093 and 12001223022102.

It is not an unprimeable number, because it can be changed into a prime (12001223022121) 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, 170076606 + ... + 170147154.

It is an arithmetic number, because the mean of its divisors is an integer number (161340795000).

Almost surely, 212001223022120 is an apocalyptic number.

12001223022120 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 12001223022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20651621760000).

12001223022120 is an abundant number, since it is smaller than the sum of its proper divisors (29302020497880).

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

12001223022120 is a wasteful number, since it uses less digits than its factorization.

12001223022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75681 (or 75671 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12001223022120 its reverse (2122032210021), we get a palindrome (14123255232141).

The spelling of 12001223022120 in words is "twelve trillion, one billion, two hundred twenty-three million, twenty-two thousand, one hundred twenty".