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1220333120 = 26543131677
BaseRepresentation
bin100100010111100…
…1100111001000000
310011001021100022222
41020233030321000
54444401124440
6321031550212
742145442336
oct11057147100
93131240288
101220333120
11576934376
122a082b368
13165a93406
14b8103b56
15722052b5
hex48bcce40

1220333120 has 112 divisors (see below), whose sum is σ = 3000621888. Its totient is φ = 472442880.

The previous prime is 1220333113. The next prime is 1220333123. The reversal of 1220333120 is 213330221.

It is not an unprimeable number, because it can be changed into a prime (1220333123) 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 15 ways as a sum of consecutive naturals, for example, 1802222 + ... + 1802898.

Almost surely, 21220333120 is an apocalyptic number.

1220333120 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 1220333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1500310944).

1220333120 is an abundant number, since it is smaller than the sum of its proper divisors (1780288768).

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

1220333120 is a wasteful number, since it uses less digits than its factorization.

1220333120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 1220333120 is about 34933.2666666031. The cubic root of 1220333120 is about 1068.6269750209.

Adding to 1220333120 its reverse (213330221), we get a palindrome (1433663341).

The spelling of 1220333120 in words is "one billion, two hundred twenty million, three hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 131 160 172 215 262 320 344 430 524 655 677 688 860 1048 1310 1354 1376 1720 2096 2620 2708 2752 3385 3440 4192 5240 5416 5633 6770 6880 8384 10480 10832 11266 13540 13760 20960 21664 22532 27080 28165 29111 41920 43328 45064 54160 56330 58222 88687 90128 108320 112660 116444 145555 177374 180256 216640 225320 232888 291110 354748 360512 443435 450640 465776 582220 709496 886870 901280 931552 1164440 1418992 1773740 1802560 1863104 2328880 2837984 3547480 3813541 4657760 5675968 7094960 7627082 9315520 14189920 15254164 19067705 28379840 30508328 38135410 61016656 76270820 122033312 152541640 244066624 305083280 610166560 1220333120