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12033022000000 = 275631421461
BaseRepresentation
bin1010111100011010100000…
…0000000111101110000000
31120121100022222210111211111
42233012220000013232000
53034122112113000000
641331521034053104
72351233334253001
oct257065000075600
946540288714744
1012033022000000
11391a1a32451a1
1214240b687a194
1369392ab9ca61
142d85895191a8
1515d016ed6cba
hexaf1a8007b80

12033022000000 has 448 divisors, whose sum is σ = 31071989773440. Its totient is φ = 4636800000000.

The previous prime is 12033021999997. The next prime is 12033022000019. The reversal of 12033022000000 is 22033021.

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 (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 26101999770 + ... + 26102000230.

It is an arithmetic number, because the mean of its divisors is an integer number (69357120030).

Almost surely, 212033022000000 is an apocalyptic number.

12033022000000 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 12033022000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15535994886720).

12033022000000 is an abundant number, since it is smaller than the sum of its proper divisors (19038967773440).

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

12033022000000 is an frugal number, since it uses more digits than its factorization.

12033022000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 12033022000000 its reverse (22033021), we get a palindrome (12033044033021).

The spelling of 12033022000000 in words is "twelve trillion, thirty-three billion, twenty-two million", and thus it is an aban number and an uban number.