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12103032000 = 263531014993
BaseRepresentation
bin10110100010110010…
…11001110011000000
31011020110222201200110
423101121121303000
5144241334011000
65320545551320
7605632034403
oct132131316300
934213881613
1012103032000
115150934094
122419345540
1311ab5ca3c7
1482b59bd3a
154ac823850
hex2d1659cc0

12103032000 has 224 divisors, whose sum is σ = 40367980224. Its totient is φ = 3194880000.

The previous prime is 12103031989. The next prime is 12103032017. The reversal of 12103032000 is 23030121.

It is a happy number.

It is a super-3 number, since 3×121030320003 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 2421504 + ... + 2426496.

Almost surely, 212103032000 is an apocalyptic number.

12103032000 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 12103032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20183990112).

12103032000 is an abundant number, since it is smaller than the sum of its proper divisors (28264948224).

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

12103032000 is a wasteful number, since it uses less digits than its factorization.

12103032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5124 (or 5104 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 12103032000 its reverse (23030121), we get a palindrome (12126062121).

The spelling of 12103032000 in words is "twelve billion, one hundred three million, thirty-two thousand".