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12011571000 = 23345311131761
BaseRepresentation
bin10110010111111001…
…00000011100111000
31011000002220000210000
423023330200130320
5144044430233000
65303521353000
7603441445302
oct131374403470
934002800700
1012011571000
115104245090
1223b2798760
131195686480
1481d390972
154a47a9000
hex2cbf20738

12011571000 has 1280 divisors, whose sum is σ = 53085352320. Its totient is φ = 2488320000.

The previous prime is 12011570971. The next prime is 12011571007. The reversal of 12011571000 is 17511021.

It is a happy number.

12011571000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011571007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 196910970 + ... + 196911030.

Almost surely, 212011571000 is an apocalyptic number.

12011571000 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 12011571000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26542676160).

12011571000 is an abundant number, since it is smaller than the sum of its proper divisors (41073781320).

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

12011571000 is a wasteful number, since it uses less digits than its factorization.

12011571000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 18.

The spelling of 12011571000 in words is "twelve billion, eleven million, five hundred seventy-one thousand".