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12121000200120 = 2335779647282311
BaseRepresentation
bin1011000001100010001111…
…1010010100011110111000
31120220202102100022010220210
42300120203322110132320
53042042302022400440
641440151032151120
72360466453521160
oct260304372243670
946822370263823
1012121000200120
11395353a68a099
12143916a5384a0
1369c00bb84236
142dc933ac55a0
15160465ae6a80
hexb0623e947b8

12121000200120 has 256 divisors, whose sum is σ = 42148955750400. Its totient is φ = 2731206965760.

The previous prime is 12121000200103. The next prime is 12121000200131. The reversal of 12121000200120 is 2100200012121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12121000200096 and 12121000200105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42793765 + ... + 43076075.

It is an arithmetic number, because the mean of its divisors is an integer number (164644358400).

Almost surely, 212121000200120 is an apocalyptic number.

12121000200120 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 12121000200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21074477875200).

12121000200120 is an abundant number, since it is smaller than the sum of its proper divisors (30027955550280).

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

12121000200120 is a wasteful number, since it uses less digits than its factorization.

12121000200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283058 (or 283054 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12121000200120 its reverse (2100200012121), we get a palindrome (14221200212241).

The spelling of 12121000200120 in words is "twelve trillion, one hundred twenty-one billion, two hundred thousand, one hundred twenty".