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1322012120 = 2351121321011
BaseRepresentation
bin100111011001100…
…0100110111011000
310102010121011200212
41032303010313120
510201413341440
6335103150252
744521626512
oct11663046730
93363534625
101322012120
11619272300
1230a8a5388
13180b741c0
14c7810bb2
157b0dc465
hex4ecc4dd8

1322012120 has 96 divisors (see below), whose sum is σ = 3521190960. Its totient is φ = 443731200.

The previous prime is 1322012093. The next prime is 1322012137. The reversal of 1322012120 is 212102231.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1322012095 and 1322012104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52415 + ... + 73425.

Almost surely, 21322012120 is an apocalyptic number.

1322012120 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 1322012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1760595480).

1322012120 is an abundant number, since it is smaller than the sum of its proper divisors (2199178840).

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

1322012120 is a wasteful number, since it uses less digits than its factorization.

1322012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21057 (or 21042 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1322012120 is about 36359.4845948069. The cubic root of 1322012120 is about 1097.5184057464.

Adding to 1322012120 its reverse (212102231), we get a palindrome (1534114351).

The spelling of 1322012120 in words is "one billion, three hundred twenty-two million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 121 130 143 220 242 260 286 440 484 520 572 605 715 968 1144 1210 1430 1573 2420 2860 3146 4840 5720 6292 7865 12584 15730 21011 31460 42022 62920 84044 105055 168088 210110 231121 273143 420220 462242 546286 840440 924484 1092572 1155605 1365715 1848968 2185144 2311210 2542331 2731430 3004573 4622420 5084662 5462860 6009146 9244840 10169324 10925720 12018292 12711655 15022865 20338648 24036584 25423310 30045730 33050303 50846620 60091460 66100606 101693240 120182920 132201212 165251515 264402424 330503030 661006060 1322012120