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1220022120 = 233523219219
BaseRepresentation
bin100100010111000…
…0000111101101000
310011000200112201110
41020232000331220
54444311201440
6321021150320
742143005542
oct11056007550
93130615643
101220022120
11576741749
122a06bb3a0
131659b49a5
14b8062692
1572193080
hex48b80f68

1220022120 has 96 divisors (see below), whose sum is σ = 3826317600. Its totient is φ = 311177856.

The previous prime is 1220022109. The next prime is 1220022121. The reversal of 1220022120 is 212200221.

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 = 1220022096 and 1220022105.

It is not an unprimeable number, because it can be changed into a prime (1220022121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53871 + ... + 73089.

It is an arithmetic number, because the mean of its divisors is an integer number (39857475).

Almost surely, 21220022120 is an apocalyptic number.

1220022120 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 1220022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1913158800).

1220022120 is an abundant number, since it is smaller than the sum of its proper divisors (2606295480).

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

1220022120 is a wasteful number, since it uses less digits than its factorization.

1220022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19279 (or 19252 counting only the distinct ones).

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

The square root of 1220022120 is about 34928.8150385896. The cubic root of 1220022120 is about 1068.5361879999.

Adding to 1220022120 its reverse (212200221), we get a palindrome (1432222341).

The spelling of 1220022120 in words is "one billion, two hundred twenty million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 529 552 690 920 1058 1380 1587 2116 2645 2760 3174 4232 5290 6348 7935 10580 12696 15870 19219 21160 31740 38438 57657 63480 76876 96095 115314 153752 192190 230628 288285 384380 442037 461256 576570 768760 884074 1153140 1326111 1768148 2210185 2306280 2652222 3536296 4420370 5304444 6630555 8840740 10166851 10608888 13261110 17681480 20333702 26522220 30500553 40667404 50834255 53044440 61001106 81334808 101668510 122002212 152502765 203337020 244004424 305005530 406674040 610011060 1220022120