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1321223120 = 245711320879
BaseRepresentation
bin100111011000000…
…0100001111010000
310102002010002101122
41032300010033100
510201213114440
6335034221412
744512132310
oct11660041720
93362102348
101321223120
11618883538
1230a584868
13180959039
14c7687440
157aed37b5
hex4ec043d0

1321223120 has 80 divisors (see below), whose sum is σ = 3541916160. Its totient is φ = 448960512.

The previous prime is 1321223107. The next prime is 1321223143. The reversal of 1321223120 is 213221231.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 52841 + ... + 73719.

It is an arithmetic number, because the mean of its divisors is an integer number (44273952).

Almost surely, 21321223120 is an apocalyptic number.

1321223120 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 1321223120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1770958080).

1321223120 is an abundant number, since it is smaller than the sum of its proper divisors (2220693040).

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

1321223120 is a wasteful number, since it uses less digits than its factorization.

1321223120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21012 (or 21006 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1321223120 is about 36348.6329866750. The cubic root of 1321223120 is about 1097.3000228899.

Adding to 1321223120 its reverse (213221231), we get a palindrome (1534444351).

The spelling of 1321223120 in words is "one billion, three hundred twenty-one million, two hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 113 140 226 280 452 560 565 791 904 1130 1582 1808 2260 3164 3955 4520 6328 7910 9040 12656 15820 20879 31640 41758 63280 83516 104395 146153 167032 208790 292306 334064 417580 584612 730765 835160 1169224 1461530 1670320 2338448 2359327 2923060 4718654 5846120 9437308 11692240 11796635 16515289 18874616 23593270 33030578 37749232 47186540 66061156 82576445 94373080 132122312 165152890 188746160 264244624 330305780 660611560 1321223120