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12003253920 = 2534571743181
BaseRepresentation
bin10110010110111001…
…10001111010100000
31010222112020110220000
423023130301322200
5144040313111140
65303023220000
7603310655250
oct131334617240
933875213800
1012003253920
1150aa584369
1223aba47600
131193a33918
1481c227960
154a3bb4a30
hex2cb731ea0

12003253920 has 960 divisors, whose sum is σ = 52742866176. Its totient is φ = 2508226560.

The previous prime is 12003253919. The next prime is 12003253921. The reversal of 12003253920 is 2935230021.

12003253920 is a `hidden beast` number, since 120 + 0 + 3 + 2 + 539 + 2 + 0 = 666.

12003253920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12003253919) and next prime (12003253921).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12003253921) 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 159 ways as a sum of consecutive naturals, for example, 66316230 + ... + 66316410.

Almost surely, 212003253920 is an apocalyptic number.

12003253920 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 12003253920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26371433088).

12003253920 is an abundant number, since it is smaller than the sum of its proper divisors (40739612256).

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

12003253920 is a wasteful number, since it uses less digits than its factorization.

12003253920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 12003253920 its reverse (2935230021), we get a palindrome (14938483941).

The spelling of 12003253920 in words is "twelve billion, three million, two hundred fifty-three thousand, nine hundred twenty".