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12325001472 = 283471941109
BaseRepresentation
bin10110111101010000…
…01001100100000000
31011210221122221120000
423132220021210000
5200220200021342
65354555320000
7614265532620
oct133650114400
934727587500
1012325001472
115255162033
12247b750000
1312155a73a4
1484cc5c880
154c206c44c
hex2dea09900

12325001472 has 720 divisors, whose sum is σ = 45705475200. Its totient is φ = 3224862720.

The previous prime is 12325001413. The next prime is 12325001473. The reversal of 12325001472 is 27410052321.

12325001472 is a `hidden beast` number, since 12 + 3 + 2 + 500 + 147 + 2 = 666.

It is a super-2 number, since 2×123250014722 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (12325001473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 113073354 + ... + 113073462.

Almost surely, 212325001472 is an apocalyptic number.

12325001472 is a gapful number since it is divisible by the number (12) 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 12325001472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22852737600).

12325001472 is an abundant number, since it is smaller than the sum of its proper divisors (33380473728).

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

12325001472 is a wasteful number, since it uses less digits than its factorization.

12325001472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 12325001472 its reverse (27410052321), we get a palindrome (39735053793).

The spelling of 12325001472 in words is "twelve billion, three hundred twenty-five million, one thousand, four hundred seventy-two".