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1220111220 = 22351910310391
BaseRepresentation
bin100100010111001…
…0110101101110100
310011000212001221110
41020232112231310
54444322024340
6321023115020
742143526366
oct11056265564
93130761843
101220111220
115767a2689
122a0742a70
13165a16403
14b8086d36
15721ae680
hex48b96b74

1220111220 has 96 divisors (see below), whose sum is σ = 3631380480. Its totient is φ = 305216640.

The previous prime is 1220111219. The next prime is 1220111231. The reversal of 1220111220 is 221110221.

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 = 1220111196 and 1220111205.

It is a congruent number.

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, 112225 + ... + 122615.

It is an arithmetic number, because the mean of its divisors is an integer number (37826880).

Almost surely, 21220111220 is an apocalyptic number.

1220111220 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 1220111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1815690240).

1220111220 is an abundant number, since it is smaller than the sum of its proper divisors (2411269260).

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

1220111220 is a wasteful number, since it uses less digits than its factorization.

1220111220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10525 (or 10523 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1220111220 is about 34930.0904665304. The cubic root of 1220111220 is about 1068.5621996203.

Adding to 1220111220 its reverse (221110221), we get a palindrome (1441221441).

Subtracting from 1220111220 its reverse (221110221), we obtain a palindrome (999000999).

The spelling of 1220111220 in words is "one billion, two hundred twenty million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 103 114 190 206 228 285 309 380 412 515 570 618 1030 1140 1236 1545 1957 2060 3090 3914 5871 6180 7828 9785 10391 11742 19570 20782 23484 29355 31173 39140 41564 51955 58710 62346 103910 117420 124692 155865 197429 207820 311730 394858 592287 623460 789716 987145 1070273 1184574 1974290 2140546 2369148 2961435 3210819 3948580 4281092 5351365 5922870 6421638 10702730 11845740 12843276 16054095 20335187 21405460 32108190 40670374 61005561 64216380 81340748 101675935 122011122 203351870 244022244 305027805 406703740 610055610 1220111220