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122230320000 = 27354509293
BaseRepresentation
bin111000111010101111…
…1101010101110000000
3102200111102220121100220
41301311133222232000
54000311430220000
6132052443543040
711554660402035
oct1616537525600
9380442817326
10122230320000
1147923913598
121b83282aa80
13b6ac2a3549
145cb763738c
1532a5bb11a0
hex1c757eab80

122230320000 has 160 divisors (see below), whose sum is σ = 405713786280. Its totient is φ = 32594688000.

The previous prime is 122230319993. The next prime is 122230320061. The reversal of 122230320000 is 23032221.

122230320000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×1222303200002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14647 + ... + 494646.

Almost surely, 2122230320000 is an apocalyptic number.

122230320000 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 122230320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202856893140).

122230320000 is an abundant number, since it is smaller than the sum of its proper divisors (283483466280).

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

122230320000 is an frugal number, since it uses more digits than its factorization.

122230320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509330 (or 509303 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 122230320000 its reverse (23032221), we get a palindrome (122253352221).

The spelling of 122230320000 in words is "one hundred twenty-two billion, two hundred thirty million, three hundred twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 300 320 375 384 400 480 500 600 625 640 750 800 960 1000 1200 1250 1500 1600 1875 1920 2000 2400 2500 3000 3200 3750 4000 4800 5000 6000 7500 8000 9600 10000 12000 15000 16000 20000 24000 30000 40000 48000 60000 80000 120000 240000 509293 1018586 1527879 2037172 2546465 3055758 4074344 5092930 6111516 7639395 8148688 10185860 12223032 12732325 15278790 16297376 20371720 24446064 25464650 30557580 32594752 38196975 40743440 48892128 50929300 61115160 63661625 65189504 76393950 81486880 97784256 101858600 122230320 127323250 152787900 162973760 190984875 195568512 203717200 244460640 254646500 305575800 318308125 325947520 381969750 407434400 488921280 509293000 611151600 636616250 763939500 814868800 954924375 977842560 1018586000 1222303200 1273232500 1527879000 1629737600 1909848750 2037172000 2444606400 2546465000 3055758000 3819697500 4074344000 4889212800 5092930000 6111516000 7639395000 8148688000 10185860000 12223032000 15278790000 20371720000 24446064000 30557580000 40743440000 61115160000 122230320000