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12333113220 = 2235713837559
BaseRepresentation
bin10110111110001110…
…00101111110000100
31011211111221001210010
423133013011332010
5200224234110340
65355445230220
7614424506211
oct133707057604
934744831703
1012333113220
1152597a255a
122482402370
13121718763c
1484dd70b08
154c2b20b80
hex2df1c5f84

12333113220 has 96 divisors (see below), whose sum is σ = 35115171840. Its totient is φ = 3233614720.

The previous prime is 12333113201. The next prime is 12333113227. The reversal of 12333113220 is 2231133321.

It is not an unprimeable number, because it can be changed into a prime (12333113227) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1627801 + ... + 1635359.

It is an arithmetic number, because the mean of its divisors is an integer number (365783040).

Almost surely, 212333113220 is an apocalyptic number.

12333113220 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 12333113220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17557585920).

12333113220 is an abundant number, since it is smaller than the sum of its proper divisors (22782058620).

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

12333113220 is a wasteful number, since it uses less digits than its factorization.

12333113220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8025 (or 8023 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 12333113220 its reverse (2231133321), we get a palindrome (14564246541).

The spelling of 12333113220 in words is "twelve billion, three hundred thirty-three million, one hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 142 213 284 355 383 426 710 766 852 1065 1149 1420 1532 1915 2130 2298 3830 4260 4596 5745 7559 7660 11490 15118 22677 22980 27193 30236 37795 45354 54386 75590 81579 90708 108772 113385 135965 151180 163158 226770 271930 326316 407895 453540 536689 543860 815790 1073378 1610067 1631580 2146756 2683445 2895097 3220134 5366890 5790194 6440268 8050335 8685291 10733780 11580388 14475485 16100670 17370582 28950970 32201340 34741164 43426455 57901940 86852910 173705820 205551887 411103774 616655661 822207548 1027759435 1233311322 2055518870 2466622644 3083278305 4111037740 6166556610 12333113220