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12002020320 = 2535191737607
BaseRepresentation
bin10110010110110000…
…00100101111100000
31010222102220210201010
423023120010233200
5144040004122240
65302540540520
7603264326613
oct131330045740
933872823633
1012002020320
1150a9911564
1223ab551740
1311936c1294
1481bdc617a
154a3a1e280
hex2cb604be0

12002020320 has 192 divisors, whose sum is σ = 40031470080. Its totient is φ = 3014166528.

The previous prime is 12002020309. The next prime is 12002020321. The reversal of 12002020320 is 2302020021.

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

It is a junction number, because it is equal to n+sod(n) for n = 12002020296 and 12002020305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002020321) 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, 1573957 + ... + 1581563.

It is an arithmetic number, because the mean of its divisors is an integer number (208497240).

Almost surely, 212002020320 is an apocalyptic number.

12002020320 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 12002020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20015735040).

12002020320 is an abundant number, since it is smaller than the sum of its proper divisors (28029449760).

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

12002020320 is a wasteful number, since it uses less digits than its factorization.

12002020320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7817 (or 7809 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 12002020320 its reverse (2302020021), we get a palindrome (14304040341).

The spelling of 12002020320 in words is "twelve billion, two million, twenty thousand, three hundred twenty".