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122120102220 = 22358958738959
BaseRepresentation
bin111000110111011101…
…1001110000101001100
3102200012202111221222220
41301232323032011030
54000100221232340
6132033505335340
711552151512304
oct1615673160514
9380182457886
10122120102220
1147877683316
121b801937550
13b6924c301c
145ca6b46604
15329b18ded0
hex1c6eece14c

122120102220 has 96 divisors (see below), whose sum is σ = 346376217600. Its totient is φ = 32143778304.

The previous prime is 122120102189. The next prime is 122120102243. The reversal of 122120102220 is 22201021221.

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

It is a self number, because there is not a number n which added to its sum of digits gives 122120102220.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3115101 + ... + 3154059.

It is an arithmetic number, because the mean of its divisors is an integer number (3608085600).

Almost surely, 2122120102220 is an apocalyptic number.

122120102220 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 122120102220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173188108800).

122120102220 is an abundant number, since it is smaller than the sum of its proper divisors (224256115380).

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

122120102220 is a wasteful number, since it uses less digits than its factorization.

122120102220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39647 (or 39645 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 122120102220 its reverse (22201021221), we get a palindrome (144321123441).

The spelling of 122120102220 in words is "one hundred twenty-two billion, one hundred twenty million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 89 178 267 356 445 534 587 890 1068 1174 1335 1761 1780 2348 2670 2935 3522 5340 5870 7044 8805 11740 17610 35220 38959 52243 77918 104486 116877 155836 156729 194795 208972 233754 261215 313458 389590 467508 522430 584385 626916 779180 783645 1044860 1168770 1567290 2337540 3134580 3467351 6934702 10402053 13869404 17336755 20804106 22868933 34673510 41608212 45737866 52010265 68606799 69347020 91475732 104020530 114344665 137213598 208041060 228689330 274427196 343033995 457378660 686067990 1372135980 2035335037 4070670074 6106005111 8141340148 10176675185 12212010222 20353350370 24424020444 30530025555 40706700740 61060051110 122120102220