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12302010000 = 243354723283
BaseRepresentation
bin10110111010100000…
…11100011010010000
31011202100101212012000
423131100130122100
5200143303310000
65352414434000
7613566234240
oct133520343220
934670355160
1012302010000
115243189215
122473b02900
1312108b7477
14849b95b20
154c002a000
hex2dd41c690

12302010000 has 800 divisors, whose sum is σ = 52807096320. Its totient is φ = 2680128000.

The previous prime is 12302009987. The next prime is 12302010013. The reversal of 12302010000 is 1020321.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12302009987) and next prime (12302010013).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 43469859 + ... + 43470141.

Almost surely, 212302010000 is an apocalyptic number.

12302010000 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 12302010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26403548160).

12302010000 is an abundant number, since it is smaller than the sum of its proper divisors (40505086320).

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

12302010000 is a wasteful number, since it uses less digits than its factorization.

12302010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 12302010000 its reverse (1020321), we get a palindrome (12303030321).

The spelling of 12302010000 in words is "twelve billion, three hundred two million, ten thousand".