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12012132000 = 25353111753101
BaseRepresentation
bin10110010111111101…
…01001011010100000
31011000010221112022210
423023332221122200
5144100101211000
65303541402120
7603446303001
oct131376513240
934003845283
1012012132000
115104598620
1223b2a09340
13119582191b
1481d4991a8
154a486a350
hex2cbfa96a0

12012132000 has 768 divisors, whose sum is σ = 46770587136. Its totient is φ = 2662400000.

The previous prime is 12012131959. The next prime is 12012132031. The reversal of 12012132000 is 23121021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 118931950 + ... + 118932050.

It is an arithmetic number, because the mean of its divisors is an integer number (60899202).

Almost surely, 212012132000 is an apocalyptic number.

12012132000 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 12012132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23385293568).

12012132000 is an abundant number, since it is smaller than the sum of its proper divisors (34758455136).

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

12012132000 is a wasteful number, since it uses less digits than its factorization.

12012132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 12012132000 its reverse (23121021), we get a palindrome (12035253021).

The spelling of 12012132000 in words is "twelve billion, twelve million, one hundred thirty-two thousand".