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12012211112000 = 26531137115889
BaseRepresentation
bin1010111011001100111110…
…0100111000100001000000
31120112100121122102212100212
42232303033210320201000
53033302002021041000
641314200020333252
72346565534524101
oct256631744704100
946470548385325
1012012211112000
113911394019000
121420069244228
136919924cc448
142d75736723a8
1515c6e9e92c35
hexaeccf938840

12012211112000 has 448 divisors, whose sum is σ = 33183774973440. Its totient is φ = 4306283520000.

The previous prime is 12012211111973. The next prime is 12012211112029. The reversal of 12012211112000 is 21111221021.

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, 756000056 + ... + 756015944.

It is an arithmetic number, because the mean of its divisors is an integer number (74070926280).

Almost surely, 212012211112000 is an apocalyptic number.

12012211112000 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 12012211112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16591887486720).

12012211112000 is an abundant number, since it is smaller than the sum of its proper divisors (21171563861440).

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

12012211112000 is an equidigital number, since it uses as much as digits as its factorization.

12012211112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16020 (or 15978 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12012211112000 its reverse (21111221021), we get a palindrome (12033322333021).

The spelling of 12012211112000 in words is "twelve trillion, twelve billion, two hundred eleven million, one hundred twelve thousand".