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123220443320 = 235134716330931
BaseRepresentation
bin111001011000010000…
…0101100000010111000
3102210001110000002012222
41302300200230002320
54004323413141240
6132335013423212
711621342325662
oct1626040540270
9383043002188
10123220443320
1148291800927
121ba6a33ab08
13b809463030
145d6cd33532
153312a90eb5
hex1cb082c0b8

123220443320 has 128 divisors (see below), whose sum is σ = 306805847040. Its totient is φ = 44254149120.

The previous prime is 123220443319. The next prime is 123220443323. The reversal of 123220443320 is 23344022321.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 123220443320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123220443323) 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, 3968255 + ... + 3999185.

It is an arithmetic number, because the mean of its divisors is an integer number (2396920680).

Almost surely, 2123220443320 is an apocalyptic number.

123220443320 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 123220443320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153402923520).

123220443320 is an abundant number, since it is smaller than the sum of its proper divisors (183585403720).

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

123220443320 is a wasteful number, since it uses less digits than its factorization.

123220443320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31165 (or 31161 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 123220443320 its reverse (23344022321), we get a palindrome (146564465641).

The spelling of 123220443320 in words is "one hundred twenty-three billion, two hundred twenty million, four hundred forty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 47 52 65 94 104 130 163 188 235 260 326 376 470 520 611 652 815 940 1222 1304 1630 1880 2119 2444 3055 3260 4238 4888 6110 6520 7661 8476 10595 12220 15322 16952 21190 24440 30644 30931 38305 42380 61288 61862 76610 84760 99593 123724 153220 154655 199186 247448 306440 309310 398372 402103 497965 618620 796744 804206 995930 1237240 1453757 1608412 1991860 2010515 2907514 3216824 3983720 4021030 5041753 5815028 7268785 8042060 10083506 11630056 14537570 16084120 18898841 20167012 25208765 29075140 37797682 40334024 50417530 58150280 65542789 75595364 94494205 100835060 131085578 151190728 188988410 201670120 236962391 262171156 327713945 377976820 473924782 524342312 655427890 755953640 947849564 1184811955 1310855780 1895699128 2369623910 2621711560 3080511083 4739247820 6161022166 9478495640 12322044332 15402555415 24644088664 30805110830 61610221660 123220443320