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121022220 = 223511296323
BaseRepresentation
bin1110011011010…
…10011100001100
322102201120021110
413031222130030
5221440202340
620001532020
72666446314
oct715523414
9272646243
10121022220
116234a870
1234644010
131c0c42a7
1412104444
15a958680
hex736a70c

121022220 has 96 divisors (see below), whose sum is σ = 382475520. Its totient is φ = 28322560.

The previous prime is 121022197. The next prime is 121022221. The reversal of 121022220 is 22220121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 121022196 and 121022205.

It is not an unprimeable number, because it can be changed into a prime (121022221) 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, 15979 + ... + 22301.

It is an arithmetic number, because the mean of its divisors is an integer number (3984120).

Almost surely, 2121022220 is an apocalyptic number.

121022220 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 121022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191237760).

121022220 is an abundant number, since it is smaller than the sum of its proper divisors (261453300).

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

121022220 is a wasteful number, since it uses less digits than its factorization.

121022220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6375 (or 6373 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 121022220 is about 11001.0099536361. The cubic root of 121022220 is about 494.6390185222.

Adding to 121022220 its reverse (22220121), we get a palindrome (143242341).

The spelling of 121022220 in words is "one hundred twenty-one million, twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 29 30 33 44 55 58 60 66 87 110 116 132 145 165 174 220 290 319 330 348 435 580 638 660 870 957 1276 1595 1740 1914 3190 3828 4785 6323 6380 9570 12646 18969 19140 25292 31615 37938 63230 69553 75876 94845 126460 139106 183367 189690 208659 278212 347765 366734 379380 417318 550101 695530 733468 834636 916835 1043295 1100202 1391060 1833670 2017037 2086590 2200404 2750505 3667340 4034074 4173180 5501010 6051111 8068148 10085185 11002020 12102222 20170370 24204444 30255555 40340740 60511110 121022220