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12133989000 = 23335371931109
BaseRepresentation
bin10110100110011110…
…11111101010001000
31011022122020111201000
423103033133222020
5144322300122000
65324013255000
7606456130140
oct132317375210
934278214630
1012133989000
115167358591
122427794460
1311b4b48b63
14831739920
154b03db000
hex2d33dfa88

12133989000 has 1024 divisors, whose sum is σ = 52715520000. Its totient is φ = 2519424000.

The previous prime is 12133988989. The next prime is 12133989011. The reversal of 12133989000 is 98933121.

It is an interprime number because it is at equal distance from previous prime (12133988989) and next prime (12133989011).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 111320946 + ... + 111321054.

It is an arithmetic number, because the mean of its divisors is an integer number (51480000).

Almost surely, 212133989000 is an apocalyptic number.

12133989000 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 12133989000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26357760000).

12133989000 is an abundant number, since it is smaller than the sum of its proper divisors (40581531000).

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

12133989000 is a wasteful number, since it uses less digits than its factorization.

12133989000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 12133989000 in words is "twelve billion, one hundred thirty-three million, nine hundred eighty-nine thousand".