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12002332000 = 255331432251
BaseRepresentation
bin10110010110110010…
…10000110101100000
31010222110111122020211
423023121100311200
5144040044111000
65302551343504
7603300065401
oct131331206540
933873448224
1012002332000
1150aa00474a
1223ab681b94
1311937a00c9
1481c0679a8
154a3a817ba
hex2cb650d60

12002332000 has 192 divisors, whose sum is σ = 31162779648. Its totient is φ = 4536000000.

The previous prime is 12002331997. The next prime is 12002332003. The reversal of 12002332000 is 23320021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12002331997) and next prime (12002332003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002332003) 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, 5330875 + ... + 5333125.

It is an arithmetic number, because the mean of its divisors is an integer number (162306144).

Almost surely, 212002332000 is an apocalyptic number.

12002332000 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 12002332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15581389824).

12002332000 is an abundant number, since it is smaller than the sum of its proper divisors (19160447648).

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

12002332000 is a wasteful number, since it uses less digits than its factorization.

12002332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2350 (or 2332 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 12002332000 its reverse (23320021), we get a palindrome (12025652021).

The spelling of 12002332000 in words is "twelve billion, two million, three hundred thirty-two thousand".