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123220123000 = 23531317535407
BaseRepresentation
bin111001011000001111…
…1011101110101111000
3102210001102101210211021
41302300133131311320
54004323322414000
6132335002512224
711621336523052
oct1626037356570
9383042353737
10123220123000
11482916021a7
121ba6a205674
13b8093802b0
145d6cc8c8d2
153312a2b11a
hex1cb07ddd78

123220123000 has 128 divisors (see below), whose sum is σ = 310749304320. Its totient is φ = 45462297600.

The previous prime is 123220122983. The next prime is 123220123001. The reversal of 123220123000 is 321022321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123220123001) 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, 22786297 + ... + 22791703.

It is an arithmetic number, because the mean of its divisors is an integer number (2427728940).

Almost surely, 2123220123000 is an apocalyptic number.

123220123000 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 123220123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155374652160).

123220123000 is an abundant number, since it is smaller than the sum of its proper divisors (187529181320).

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

123220123000 is a wasteful number, since it uses less digits than its factorization.

123220123000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7194 (or 7180 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 123220123000 its reverse (321022321), we get a palindrome (123541145321).

The spelling of 123220123000 in words is "one hundred twenty-three billion, two hundred twenty million, one hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 1000 1300 1625 1753 2600 3250 3506 5407 6500 7012 8765 10814 13000 14024 17530 21628 22789 27035 35060 43256 43825 45578 54070 70120 70291 87650 91156 108140 113945 135175 140582 175300 182312 216280 219125 227890 270350 281164 350600 351455 438250 455780 540700 562328 569725 675875 702910 876500 911560 1081400 1139450 1351750 1405820 1753000 1757275 2278900 2703500 2811640 2848625 3514550 4557800 5407000 5697250 7029100 8786375 9478471 11394500 14058200 17572750 18956942 22789000 35145500 37913884 47392355 70291000 75827768 94784710 123220123 189569420 236961775 246440246 379138840 473923550 492880492 616100615 947847100 985760984 1184808875 1232201230 1895694200 2369617750 2464402460 3080503075 4739235500 4928804920 6161006150 9478471000 12322012300 15402515375 24644024600 30805030750 61610061500 123220123000