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12032311200000 = 28355713371489
BaseRepresentation
bin1010111100010111110110…
…1000101000100100000000
31120121021111110022010112120
42233011331220220210000
53034114133131400000
641331322323124240
72351206613460540
oct257057550504400
946537443263476
1012032311200000
113919968a99683
121423b38813680
1369384684b940
142d851cd6d320
1515cec48ce6a0
hexaf17da28900

12032311200000 has 1728 divisors, whose sum is σ = 50629194524160. Its totient is φ = 2468413440000.

The previous prime is 12032311199983. The next prime is 12032311200031. The reversal of 12032311200000 is 211323021.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 191 ways as a sum of consecutive naturals, for example, 8080799256 + ... + 8080800744.

Almost surely, 212032311200000 is an apocalyptic number.

12032311200000 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 12032311200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25314597262080).

12032311200000 is an abundant number, since it is smaller than the sum of its proper divisors (38596883324160).

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

12032311200000 is an equidigital number, since it uses as much as digits as its factorization.

12032311200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1590 (or 1556 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12032311200000 its reverse (211323021), we get a palindrome (12032522523021).

The spelling of 12032311200000 in words is "twelve trillion, thirty-two billion, three hundred eleven million, two hundred thousand".