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123212232220 = 225711319125073
BaseRepresentation
bin111001011000000000…
…1010111011000011100
3102210000212112220201011
41302300001113120130
54004314312412340
6132334121425004
711621212456630
oct1626001273034
9383025486634
10123212232220
11482881027a0
121ba6763b164
13b8078497ac
145d6bbd6dc0
153311ebd0ea
hex1cb005761c

123212232220 has 96 divisors (see below), whose sum is σ = 322705990656. Its totient is φ = 38390246400.

The previous prime is 123212232193. The next prime is 123212232229. The reversal of 123212232220 is 22232212321.

123212232220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1232122322202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 123212232191 and 123212232200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123212232229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4901604 + ... + 4926676.

It is an arithmetic number, because the mean of its divisors is an integer number (3361520736).

Almost surely, 2123212232220 is an apocalyptic number.

123212232220 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 123212232220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161352995328).

123212232220 is an abundant number, since it is smaller than the sum of its proper divisors (199493758436).

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

123212232220 is a wasteful number, since it uses less digits than its factorization.

123212232220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28291 (or 28289 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 123212232220 its reverse (22232212321), we get a palindrome (145444444541).

The spelling of 123212232220 in words is "one hundred twenty-three billion, two hundred twelve million, two hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 3191 6382 12764 15955 22337 25073 31910 35101 44674 50146 63820 70202 89348 100292 111685 125365 140404 175505 175511 223370 245707 250730 275803 351010 351022 446740 491414 501460 551606 702020 702044 877555 982828 1103212 1228535 1379015 1755110 1930621 2457070 2758030 3510220 3861242 4914140 5516060 7722484 9653105 19306210 38612420 80007943 160015886 320031772 400039715 560055601 800079430 880087373 1120111202 1600158860 1760174746 2240222404 2800278005 3520349492 4400436865 5600556010 6160611611 8800873730 11201112020 12321223222 17601747460 24642446444 30803058055 61606116110 123212232220