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12014332000 = 2553112103241
BaseRepresentation
bin10110011000001110…
…00010100001100000
31011000022002022011021
423030013002201200
5144101132111000
65304100455224
7603504064666
oct131407024140
934008068137
1012014332000
115105860500
1223b36aa514
1311961120b8
1481d8acc36
154a4b5211a
hex2cc1c2860

12014332000 has 288 divisors, whose sum is σ = 32897696832. Its totient is φ = 4308480000.

The previous prime is 12014331991. The next prime is 12014332027. The reversal of 12014332000 is 23341021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49851880 + ... + 49852120.

It is an arithmetic number, because the mean of its divisors is an integer number (114228114).

Almost surely, 212014332000 is an apocalyptic number.

12014332000 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 12014332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16448848416).

12014332000 is an abundant number, since it is smaller than the sum of its proper divisors (20883364832).

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

12014332000 is a wasteful number, since it uses less digits than its factorization.

12014332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 12014332000 its reverse (23341021), we get a palindrome (12037673021).

The spelling of 12014332000 in words is "twelve billion, fourteen million, three hundred thirty-two thousand".