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12012111022000 = 245317220999901
BaseRepresentation
bin1010111011001100100110…
…0111000100011110110000
31120112100100200002202200211
42232303021213010132300
53033301300410201000
641314142043153504
72346563211005365
oct256631147043660
946470320082624
1012012111022000
1139113425759a1
12142003b815894
136919778569ab
142d756425a46c
1515c6e12c17ba
hexaecc99c47b0

12012111022000 has 240 divisors, whose sum is σ = 30872150618400. Its totient is φ = 4519595520000.

The previous prime is 12012111021947. The next prime is 12012111022003. The reversal of 12012111022000 is 22011121021.

12012111022000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×120121110220002 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12012111022003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1213217050 + ... + 1213226950.

It is an arithmetic number, because the mean of its divisors is an integer number (128633960910).

Almost surely, 212012111022000 is an apocalyptic number.

12012111022000 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 12012111022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15436075309200).

12012111022000 is an abundant number, since it is smaller than the sum of its proper divisors (18860039596400).

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

12012111022000 is a wasteful number, since it uses less digits than its factorization.

12012111022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12057 (or 12024 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12012111022000 its reverse (22011121021), we get a palindrome (12034122143021).

The spelling of 12012111022000 in words is "twelve trillion, twelve billion, one hundred eleven million, twenty-two thousand".