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12003144120 = 233251123313009
BaseRepresentation
bin10110010110111000…
…10111000110111000
31010222112000220021100
423023130113012320
5144040301102440
65303021011400
7603310020162
oct131334270670
933875026240
1012003144120
1150aa509920
1223ab9b3b60
1311939c5956
1481c1d9932
154a3b92230
hex2cb7171b8

12003144120 has 192 divisors, whose sum is σ = 42742533600. Its totient is φ = 2897141760.

The previous prime is 12003144091. The next prime is 12003144121. The reversal of 12003144120 is 2144130021.

12003144120 is a `hidden beast` number, since 1 + 200 + 3 + 1 + 441 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12003144093 and 12003144102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12003144121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 916176 + ... + 929184.

Almost surely, 212003144120 is an apocalyptic number.

12003144120 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 12003144120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21371266800).

12003144120 is an abundant number, since it is smaller than the sum of its proper divisors (30739389480).

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

12003144120 is a wasteful number, since it uses less digits than its factorization.

12003144120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13270 (or 13263 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12003144120 its reverse (2144130021), we get a palindrome (14147274141).

The spelling of 12003144120 in words is "twelve billion, three million, one hundred forty-four thousand, one hundred twenty".