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12325412000 = 255311373751
BaseRepresentation
bin10110111101010011…
…01101110010100000
31011210222102210200202
423132221231302200
5200220301141000
65355012204332
7614302162526
oct133651556240
934728383622
1012325412000
115255412510
12247b9096a8
1312156bc1c5
1484cd28316
154c20eddd5
hex2dea6dca0

12325412000 has 192 divisors, whose sum is σ = 33169264128. Its totient is φ = 4464000000.

The previous prime is 12325411981. The next prime is 12325412009. The reversal of 12325412000 is 21452321.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (12325412009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16411625 + ... + 16412375.

It is an arithmetic number, because the mean of its divisors is an integer number (172756584).

Almost surely, 212325412000 is an apocalyptic number.

12325412000 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 12325412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16584632064).

12325412000 is an abundant number, since it is smaller than the sum of its proper divisors (20843852128).

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

12325412000 is a wasteful number, since it uses less digits than its factorization.

12325412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 12325412000 its reverse (21452321), we get a palindrome (12346864321).

The spelling of 12325412000 in words is "twelve billion, three hundred twenty-five million, four hundred twelve thousand".