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122200310120 = 23572190132797
BaseRepresentation
bin111000111001110110…
…1001100000101101000
3102200102100102221112212
41301303231030011220
54000231234410440
6132045452424252
711554144332500
oct1616355140550
9380370387485
10122200310120
1147908986739
121b824778088
13b6a5cc6c15
145cb3664a00
1532a3234465
hex1c73b4c168

122200310120 has 96 divisors (see below), whose sum is σ = 320018613480. Its totient is φ = 41873932800.

The previous prime is 122200310117. The next prime is 122200310143. The reversal of 122200310120 is 21013002221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 107808468964 + 14391841156 = 328342^2 + 119966^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 122200310095 and 122200310104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3709562 + ... + 3742358.

Almost surely, 2122200310120 is an apocalyptic number.

122200310120 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 122200310120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160009306740).

122200310120 is an abundant number, since it is smaller than the sum of its proper divisors (197818303360).

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

122200310120 is a wasteful number, since it uses less digits than its factorization.

122200310120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34723 (or 34712 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 122200310120 its reverse (21013002221), we get a palindrome (143213312341).

The spelling of 122200310120 in words is "one hundred twenty-two billion, two hundred million, three hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1901 1960 3802 7604 9505 13307 15208 19010 26614 32797 38020 53228 65594 66535 76040 93149 106456 131188 133070 163985 186298 229579 262376 266140 327970 372596 459158 465745 532280 655940 745192 918316 931490 1147895 1311880 1607053 1836632 1862980 2295790 3214106 3725960 4591580 6428212 8035265 9183160 12856424 16070530 32141060 62347097 64282120 124694194 249388388 311735485 436429679 498776776 623470970 872859358 1246941940 1745718716 2182148395 2493883880 3055007753 3491437432 4364296790 6110015506 8728593580 12220031012 15275038765 17457187160 24440062024 30550077530 61100155060 122200310120