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12022332100000 = 2555472819103
BaseRepresentation
bin1010111011110010101011…
…0101011000110110100000
31120120022201222212022211021
42232330222311120312200
53033433214004200000
641322552204255224
72350404411513535
oct256745265306640
946508658768737
1012022332100000
11391570805a0a2
121422012841514
1369291629b441
142d7c538cad8c
1515cadd79e11a
hexaef2ad58da0

12022332100000 has 288 divisors, whose sum is σ = 30324621100032. Its totient is φ = 4689350400000.

The previous prime is 12022332099991. The next prime is 12022332100003. The reversal of 12022332100000 is 123322021.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (12022332100003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1320695449 + ... + 1320704551.

It is an arithmetic number, because the mean of its divisors is an integer number (105293823264).

Almost surely, 212022332100000 is an apocalyptic number.

12022332100000 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 12022332100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15162310550016).

12022332100000 is an abundant number, since it is smaller than the sum of its proper divisors (18302289000032).

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

12022332100000 is an frugal number, since it uses more digits than its factorization.

12022332100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9466 (or 9438 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 12022332100000 its reverse (123322021), we get a palindrome (12022455422021).

The spelling of 12022332100000 in words is "twelve trillion, twenty-two billion, three hundred thirty-two million, one hundred thousand".