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12001200020120 = 23517316726332309
BaseRepresentation
bin1010111010100011111101…
…0000111001101010011000
31120111022012021010102221002
42232220333100321222120
53033111424201120440
641305135234404132
72346025632013313
oct256507720715230
946438167112832
1012001200020120
1139077535a4773
121419ab5730648
136909291c026c
142d6c0b11597a
1515c2a3462115
hexaea3f439a98

12001200020120 has 256 divisors, whose sum is σ = 30068709580800. Its totient is φ = 4290585108480.

The previous prime is 12001200020087. The next prime is 12001200020143. The reversal of 12001200020120 is 2102000210021.

It is a happy number.

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 63 ways as a sum of consecutive naturals, for example, 371434526 + ... + 371466834.

It is an arithmetic number, because the mean of its divisors is an integer number (117455896800).

Almost surely, 212001200020120 is an apocalyptic number.

12001200020120 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 12001200020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15034354790400).

12001200020120 is an abundant number, since it is smaller than the sum of its proper divisors (18067509560680).

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

12001200020120 is a wasteful number, since it uses less digits than its factorization.

12001200020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32698 (or 32694 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12001200020120 its reverse (2102000210021), we get a palindrome (14103200230141).

The spelling of 12001200020120 in words is "twelve trillion, one billion, two hundred million, twenty thousand, one hundred twenty".