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12603252000 = 253538631217
BaseRepresentation
bin10111011110011011…
…00101110100100000
31012112100020112112010
423233031211310200
5201302413031000
65442335232520
7624214605633
oct135715456440
935470215463
1012603252000
115388230849
122538978740
13125b12b681
14877badc1a
154db6d1d50
hex2ef365d20

12603252000 has 192 divisors, whose sum is σ = 41370061824. Its totient is φ = 3354214400.

The previous prime is 12603251993. The next prime is 12603252023. The reversal of 12603252000 is 25230621.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10355392 + ... + 10356608.

It is an arithmetic number, because the mean of its divisors is an integer number (215469072).

Almost surely, 212603252000 is an apocalyptic number.

12603252000 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 12603252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20685030912).

12603252000 is an abundant number, since it is smaller than the sum of its proper divisors (28766809824).

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

12603252000 is a wasteful number, since it uses less digits than its factorization.

12603252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2108 (or 2090 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 12603252000 its reverse (25230621), we get a palindrome (12628482621).

The spelling of 12603252000 in words is "twelve billion, six hundred three million, two hundred fifty-two thousand".