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12322332000000 = 2832561129237
BaseRepresentation
bin1011001101010000010000…
…1110001011111100000000
31121122000002111121021101200
42303110010032023330000
53103342113443000000
642112445015301200
72411154605551521
oct263240416137400
947560074537350
1012322332000000
113a20965198250
12147019807a800
136b4cb6093679
14308592a04848
151657eae3d500
hexb350438bf00

12322332000000 has 2268 divisors, whose sum is σ = 51531374921208. Its totient is φ = 2806272000000.

The previous prime is 12322331999983. The next prime is 12322332000023. The reversal of 12322332000000 is 23322321.

It is a happy number.

12322332000000 is a `hidden beast` number, since 1 + 232 + 233 + 200 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 333035999982 + ... + 333036000018.

Almost surely, 212322332000000 is an apocalyptic number.

12322332000000 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 12322332000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25765687460604).

12322332000000 is an abundant number, since it is smaller than the sum of its proper divisors (39209042921208).

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

12322332000000 is an frugal number, since it uses more digits than its factorization.

12322332000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 12322332000000 its reverse (23322321), we get a palindrome (12322355322321).

The spelling of 12322332000000 in words is "twelve trillion, three hundred twenty-two billion, three hundred thirty-two million", and thus it is an aban number.