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12011010110000 = 2454111027110631
BaseRepresentation
bin1010111011001000011111…
…1111011011001000110000
31120112020111221112122100022
42232302013333123020300
53033242022042010000
641313440514543012
72346524012263406
oct256620777331060
946466457478308
1012011010110000
113910928098470
12141b992b97a68
13691830746b85
142d749bd61476
1515c67980a585
hexaec87fdb230

12011010110000 has 200 divisors, whose sum is σ = 31729552892928. Its totient is φ = 4366804000000.

The previous prime is 12011010109981. The next prime is 12011010110003. The reversal of 12011010110000 is 1101011021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 12011010110000.

It is not an unprimeable number, because it can be changed into a prime (12011010110003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1129804685 + ... + 1129815315.

Almost surely, 212011010110000 is an apocalyptic number.

12011010110000 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 12011010110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15864776446464).

12011010110000 is an abundant number, since it is smaller than the sum of its proper divisors (19718542782928).

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

12011010110000 is a wasteful number, since it uses less digits than its factorization.

12011010110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20941 (or 20920 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 12011010110000 its reverse (1101011021), we get a palindrome (12012111121021).

The spelling of 12011010110000 in words is "twelve trillion, eleven billion, ten million, one hundred ten thousand".