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220122120 = 233517107903
BaseRepresentation
bin11010001111011…
…00110000001000
3120100012100210010
431013230300020
5422322401440
633501551520
75312002311
oct1507546010
9510170703
10220122120
11103287009
12618755a0
13367b119a
142133d608
15144d1580
hexd1ecc08

220122120 has 64 divisors (see below), whose sum is σ = 699217920. Its totient is φ = 55245824.

The previous prime is 220122101. The next prime is 220122131. The reversal of 220122120 is 21221022.

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 = 220122096 and 220122105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51912 + ... + 55991.

It is an arithmetic number, because the mean of its divisors is an integer number (10925280).

Almost surely, 2220122120 is an apocalyptic number.

220122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220122120 is an abundant number, since it is smaller than the sum of its proper divisors (479095800).

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

220122120 is a wasteful number, since it uses less digits than its factorization.

220122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107934 (or 107930 counting only the distinct ones).

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

The square root of 220122120 is about 14836.5130674293. The cubic root of 220122120 is about 603.7927523104.

Adding to 220122120 its reverse (21221022), we get a palindrome (241343142).

The spelling of 220122120 in words is "two hundred twenty million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 107903 215806 323709 431612 539515 647418 863224 1079030 1294836 1618545 1834351 2158060 2589672 3237090 3668702 4316120 5503053 6474180 7337404 9171755 11006106 12948360 14674808 18343510 22012212 27515265 36687020 44024424 55030530 73374040 110061060 220122120