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12022332445504 = 262918713462079
BaseRepresentation
bin1010111011110010101011…
…0110101101001101000000
31120120022202000111212202201
42232330222312231031000
53033433214101224004
641322552215522544
72350404414453043
oct256745266551500
946508660455681
1012022332445504
113915708275737
121422012989454
1369291638c794
142d7c5397ac5a
1515cadd81b6a4
hexaef2adad340

12022332445504 has 56 divisors (see below), whose sum is σ = 24692662425600. Its totient is φ = 5800780930560.

The previous prime is 12022332445493. The next prime is 12022332445523. The reversal of 12022332445504 is 40554423322021.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1741537 + ... + 5203615.

Almost surely, 212022332445504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12022332445504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12346331212800).

12022332445504 is an abundant number, since it is smaller than the sum of its proper divisors (12670329980096).

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

12022332445504 is a wasteful number, since it uses less digits than its factorization.

12022332445504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3463991 (or 3463981 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 37.

Adding to 12022332445504 its reverse (40554423322021), we get a palindrome (52576755767525).

The spelling of 12022332445504 in words is "twelve trillion, twenty-two billion, three hundred thirty-two million, four hundred forty-five thousand, five hundred four".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 464 928 1856 1871 3742 7484 14968 29936 54259 59872 108518 119744 217036 434072 868144 1736288 3462079 3472576 6924158 13848316 27696632 55393264 100400291 110786528 200800582 221573056 401601164 803202328 1606404656 3212809312 6425618624 6477549809 12955099618 25910199236 51820398472 103640796944 187848944461 207281593888 375697888922 414563187776 751395777844 1502791555688 3005583111376 6011166222752 12022332445504