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12230013333020 = 2257269584355579
BaseRepresentation
bin1011000111111000010110…
…0110011010111000011100
31121022011210122202002010112
42301332011212122320130
53100334031403124040
642002220210025152
72401406063046110
oct261760546327034
947264718662115
1012230013333020
1139957a076635a
1214563128781b8
136a9392a917c2
14303d15bb9740
151631e6254365
hexb1f8599ae1c

12230013333020 has 96 divisors (see below), whose sum is σ = 29466719654400. Its totient is φ = 4176769400064.

The previous prime is 12230013332941. The next prime is 12230013333023. The reversal of 12230013333020 is 2033331003221.

It is a super-2 number, since 2×122300133330202 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12230013333023) 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 31 ways as a sum of consecutive naturals, for example, 220019591 + ... + 220075169.

It is an arithmetic number, because the mean of its divisors is an integer number (306944996400).

Almost surely, 212230013333020 is an apocalyptic number.

12230013333020 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 12230013333020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14733359827200).

12230013333020 is an abundant number, since it is smaller than the sum of its proper divisors (17236706321380).

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

12230013333020 is a wasteful number, since it uses less digits than its factorization.

12230013333020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61707 (or 61705 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 12230013333020 its reverse (2033331003221), we get a palindrome (14263344336241).

The spelling of 12230013333020 in words is "twelve trillion, two hundred thirty billion, thirteen million, three hundred thirty-three thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 269 538 1076 1345 1883 2690 3766 5380 5843 7532 9415 11686 18830 23372 29215 37660 40901 55579 58430 81802 111158 116860 163604 204505 222316 277895 389053 409010 555790 778106 818020 1111580 1556212 1571767 1945265 3143534 3890530 6287068 7781060 7858835 11002369 14950751 15717670 22004738 29901502 31435340 44009476 55011845 59803004 74753755 104655257 110023690 149507510 209310514 220047380 299015020 324748097 418621028 523276285 649496194 1046552570 1298992388 1623740485 2093105140 2273236679 3247480970 4546473358 6494961940 9092946716 11366183395 22732366790 45464733580 87357238093 174714476186 349428952372 436786190465 611500666651 873572380930 1223001333302 1747144761860 2446002666604 3057503333255 6115006666510 12230013333020