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12120020200002 = 23111321779518039
BaseRepresentation
bin1011000001011110100101…
…1111111010101001000010
31120220122220001020222111010
42300113221133322221002
53042033300132400002
641435505503301350
72360433253616031
oct260275137725102
946818801228433
1012120020200002
113953087486540
121438b362aa856
1369bbb3b2a400
142dc87d8a2718
15160409a6646c
hexb05e97faa42

12120020200002 has 192 divisors, whose sum is σ = 30326235770880. Its totient is φ = 3189992832000.

The previous prime is 12120020199809. The next prime is 12120020200003. The reversal of 12120020200002 is 20000202002121.

It is not an unprimeable number, because it can be changed into a prime (12120020200003) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1507648699 + ... + 1507656737.

It is an arithmetic number, because the mean of its divisors is an integer number (157949144640).

Almost surely, 212120020200002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12120020200002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15163117885440).

12120020200002 is an abundant number, since it is smaller than the sum of its proper divisors (18206215570878).

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

12120020200002 is a wasteful number, since it uses less digits than its factorization.

12120020200002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16049 (or 16036 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 12120020200002 its reverse (20000202002121), we get a palindrome (32120222202123).

The spelling of 12120020200002 in words is "twelve trillion, one hundred twenty billion, twenty million, two hundred thousand, two".