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12011010109980 = 223571213149315791
BaseRepresentation
bin1010111011001000011111…
…1111011011001000011100
31120112020111221112122022120
42232302013333123020130
53033242022042004410
641313440514542540
72346524012263350
oct256620777331034
946466457478276
1012011010109980
113910928098452
12141b992b97a50
13691830746b6b
142d749bd61460
1515c67980a570
hexaec87fdb21c

12011010109980 has 192 divisors, whose sum is σ = 38495120928768. Its totient is φ = 2741099535360.

The previous prime is 12011010109957. The next prime is 12011010109981. The reversal of 12011010109980 is 8990101011021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011010109981) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 760615885 + ... + 760631675.

It is an arithmetic number, because the mean of its divisors is an integer number (200495421504).

Almost surely, 212011010109980 is an apocalyptic number.

12011010109980 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 12011010109980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19247560464384).

12011010109980 is an abundant number, since it is smaller than the sum of its proper divisors (26484110818788).

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

12011010109980 is a wasteful number, since it uses less digits than its factorization.

12011010109980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18516 (or 18514 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 33.

The spelling of 12011010109980 in words is "twelve trillion, eleven billion, ten million, one hundred nine thousand, nine hundred eighty".