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12504204000 = 25325319101181
BaseRepresentation
bin10111010010100111…
…10000001011100000
31012021102212101012200
423221103300023200
5201102034012000
65424440253200
7621602660151
oct135123601340
935242771180
1012504204000
11533732a5a2
12250b771200
13124375c2a2
14868989928
154d2b69500
hex2e94f02e0

12504204000 has 576 divisors, whose sum is σ = 47436217920. Its totient is φ = 3110400000.

The previous prime is 12504203993. The next prime is 12504204007. The reversal of 12504204000 is 40240521.

It is an interprime number because it is at equal distance from previous prime (12504203993) and next prime (12504204007).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12504204007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 69083910 + ... + 69084090.

It is an arithmetic number, because the mean of its divisors is an integer number (82354545).

Almost surely, 212504204000 is an apocalyptic number.

12504204000 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 12504204000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23718108960).

12504204000 is an abundant number, since it is smaller than the sum of its proper divisors (34932013920).

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

12504204000 is a wasteful number, since it uses less digits than its factorization.

12504204000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

Adding to 12504204000 its reverse (40240521), we get a palindrome (12544444521).

The spelling of 12504204000 in words is "twelve billion, five hundred four million, two hundred four thousand".