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1222000120 = 2351117237103
BaseRepresentation
bin100100011010110…
…0011110111111000
310011011102001000201
41020311203313320
510000313000440
6321131411544
742165554365
oct11065436770
93134361021
101222000120
11577872860
122a12b3bb4
131662280c3
14b841946c
157243419a
hex48d63df8

1222000120 has 128 divisors (see below), whose sum is σ = 3314442240. Its totient is φ = 399984640.

The previous prime is 1222000063. The next prime is 1222000127. The reversal of 1222000120 is 210002221.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1222000097 and 1222000106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1222000127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168489 + ... + 175591.

It is an arithmetic number, because the mean of its divisors is an integer number (25894080).

Almost surely, 21222000120 is an apocalyptic number.

1222000120 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 1222000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1657221120).

1222000120 is an abundant number, since it is smaller than the sum of its proper divisors (2092442120).

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

1222000120 is a wasteful number, since it uses less digits than its factorization.

1222000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7165 (or 7161 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 1222000120 is about 34957.1183022857. The cubic root of 1222000120 is about 1069.1133423932.

Adding to 1222000120 its reverse (210002221), we get a palindrome (1432002341).

The spelling of 1222000120 in words is "one billion, two hundred twenty-two million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 11 17 20 22 23 34 40 44 46 55 68 85 88 92 110 115 136 170 184 187 220 230 253 340 374 391 440 460 506 680 748 782 920 935 1012 1265 1496 1564 1870 1955 2024 2530 3128 3740 3910 4301 5060 7103 7480 7820 8602 10120 14206 15640 17204 21505 28412 34408 35515 43010 56824 71030 78133 86020 120751 142060 156266 163369 172040 241502 284120 312532 326738 390665 483004 603755 625064 653476 781330 816845 966008 1207510 1306952 1328261 1562660 1633690 1797059 2415020 2656522 2777273 3125320 3267380 3594118 4830040 5313044 5554546 6534760 6641305 7188236 8985295 10626088 11109092 13282610 13886365 14376472 17970590 22218184 26565220 27772730 30550003 35941180 53130440 55545460 61100006 71882360 111090920 122200012 152750015 244400024 305500030 611000060 1222000120