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2122232123240 = 23517231011343491
BaseRepresentation
bin11110111000011110111…
…001000100111101101000
321111212212000011001220122
4132320132321010331220
5234232312410420430
64302535011342412
7306216614260265
oct36703671047550
97455760131818
102122232123240
11749040786159
122a33772b1a08
13125183019608
1474a0643626c
153a30dde7ee5
hex1ee1ee44f68

2122232123240 has 128 divisors (see below), whose sum is σ = 5327966833920. Its totient is φ = 756653568000.

The previous prime is 2122232123191. The next prime is 2122232123267. The reversal of 2122232123240 is 423212322212.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 907895 + ... + 2251385.

It is an arithmetic number, because the mean of its divisors is an integer number (41624740890).

Almost surely, 22122232123240 is an apocalyptic number.

2122232123240 is a gapful number since it is divisible by the number (20) 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 2122232123240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2663983416960).

2122232123240 is an abundant number, since it is smaller than the sum of its proper divisors (3205734710680).

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

2122232123240 is a wasteful number, since it uses less digits than its factorization.

2122232123240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343643 (or 1343639 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 2122232123240 its reverse (423212322212), we get a palindrome (2545444445452).

The spelling of 2122232123240 in words is "two trillion, one hundred twenty-two billion, two hundred thirty-two million, one hundred twenty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 17 20 23 34 40 46 68 85 92 101 115 136 170 184 202 230 340 391 404 460 505 680 782 808 920 1010 1564 1717 1955 2020 2323 3128 3434 3910 4040 4646 6868 7820 8585 9292 11615 13736 15640 17170 18584 23230 34340 39491 46460 68680 78982 92920 157964 197455 315928 394910 789820 1343491 1579640 2686982 5373964 6717455 10747928 13434910 22839347 26869820 30900293 45678694 53739640 61800586 91357388 114196735 123601172 135692591 154501465 182714776 228393470 247202344 271385182 309002930 456786940 525304981 542770364 618005860 678462955 913573880 1050609962 1085540728 1236011720 1356925910 2101219924 2306774047 2626524905 2713851820 3120929593 4202439848 4613548094 5253049810 5427703640 6241859186 9227096188 10506099620 11533870235 12483718372 15604647965 18454192376 21012199240 23067740470 24967436744 31209295930 46135480940 53055803081 62418591860 92270961880 106111606162 124837183720 212223212324 265279015405 424446424648 530558030810 1061116061620 2122232123240