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12333252000 = 253531915381
BaseRepresentation
bin10110111110001111…
…00111110110100000
31011211112012010011010
423133013213312200
5200224303031000
65355452220520
7614425624626
oct133707476640
934745163133
1012333252000
115259887853
12248246a740
131217205864
1484dda9516
154c2b4bd50
hex2df1e7da0

12333252000 has 192 divisors, whose sum is σ = 40622819328. Its totient is φ = 3271040000.

The previous prime is 12333251977. The next prime is 12333252007. The reversal of 12333252000 is 25233321.

It is not an unprimeable number, because it can be changed into a prime (12333252007) 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, 2289310 + ... + 2294690.

It is an arithmetic number, because the mean of its divisors is an integer number (211577184).

Almost surely, 212333252000 is an apocalyptic number.

12333252000 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 12333252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20311409664).

12333252000 is an abundant number, since it is smaller than the sum of its proper divisors (28289567328).

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

12333252000 is a wasteful number, since it uses less digits than its factorization.

12333252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5600 (or 5582 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

Adding to 12333252000 its reverse (25233321), we get a palindrome (12358485321).

The spelling of 12333252000 in words is "twelve billion, three hundred thirty-three million, two hundred fifty-two thousand".