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12000122210120 = 23511219612139227
BaseRepresentation
bin1010111010011111111100…
…0001011000011101001000
31120111012102011001000120012
42232213333001120131020
53033102222241210440
641304440253251052
72345660133540152
oct256477701303510
946435364030505
1012000122210120
113907250166100
121419854793a88
136907b6b0b775
142d6b47d11ad2
1515c23da10e65
hexae9ff058748

12000122210120 has 192 divisors, whose sum is σ = 31752133358400. Its totient is φ = 4066240780800.

The previous prime is 12000122210113. The next prime is 12000122210129. The reversal of 12000122210120 is 2101222100021.

It is a junction number, because it is equal to n+sod(n) for n = 12000122210095 and 12000122210104.

It is not an unprimeable number, because it can be changed into a prime (12000122210129) 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 47 ways as a sum of consecutive naturals, for example, 4539947 + ... + 6679173.

It is an arithmetic number, because the mean of its divisors is an integer number (165375694575).

Almost surely, 212000122210120 is an apocalyptic number.

12000122210120 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 12000122210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15876066679200).

12000122210120 is an abundant number, since it is smaller than the sum of its proper divisors (19752011148280).

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

12000122210120 is a wasteful number, since it uses less digits than its factorization.

12000122210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2139340 (or 2139325 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12000122210120 its reverse (2101222100021), we get a palindrome (14101344310141).

The spelling of 12000122210120 in words is "twelve trillion, one hundred twenty-two million, two hundred ten thousand, one hundred twenty".