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12010212110000 = 245413829111443
BaseRepresentation
bin1010111011000101100001…
…1011010010111010110000
31120112011110022222001010202
42232301120123102322300
53033233403300010000
641313225411014332
72346465152346656
oct256613033227260
946464408861122
1012010212110000
1139105586a3235
12141b7ab89a3a8
13691734314420
142d7423d96dd6
1515c62e72add5
hexaec586d2eb0

12010212110000 has 200 divisors, whose sum is σ = 31352743348080. Its totient is φ = 4429150848000.

The previous prime is 12010212109933. The next prime is 12010212110051. The reversal of 12010212110000 is 1121201021.

12010212110000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 107714279 + ... + 107825721.

Almost surely, 212010212110000 is an apocalyptic number.

12010212110000 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 12010212110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15676371674040).

12010212110000 is an abundant number, since it is smaller than the sum of its proper divisors (19342531238080).

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

12010212110000 is a wasteful number, since it uses less digits than its factorization.

12010212110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112313 (or 112292 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12010212110000 its reverse (1121201021), we get a palindrome (12011333311021).

The spelling of 12010212110000 in words is "twelve trillion, ten billion, two hundred twelve million, one hundred ten thousand".