Search a number
-
+
1204322240120 = 23531237098447
BaseRepresentation
bin10001100001100111001…
…100110000011001111000
311021010120021202122202212
4101201213030300121320
5124212422443140440
62321131421114252
7153003141065126
oct21414714603170
94233507678685
101204322240120
1142482856506a
121754a50b8988
138974abc313c
144240a5a0916
15214d93b4465
hex11867330678

1204322240120 has 96 divisors (see below), whose sum is σ = 2801041689600. Its totient is φ = 466008387840.

The previous prime is 1204322240117. The next prime is 1204322240131. The reversal of 1204322240120 is 210422234021.

It is a super-2 number, since 2×12043222401202 (a number of 25 digits) contains 22 as substring.

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, 142569737 + ... + 142578183.

It is an arithmetic number, because the mean of its divisors is an integer number (29177517600).

Almost surely, 21204322240120 is an apocalyptic number.

1204322240120 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 1204322240120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1400520844800).

1204322240120 is an abundant number, since it is smaller than the sum of its proper divisors (1596719449480).

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

1204322240120 is a wasteful number, since it uses less digits than its factorization.

1204322240120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12229 (or 12194 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 1204322240120 its reverse (210422234021), we get a palindrome (1414744474141).

The spelling of 1204322240120 in words is "one trillion, two hundred four billion, three hundred twenty-two million, two hundred forty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 961 1240 1922 3709 3844 4805 7418 7688 8447 9610 14836 16894 18545 19220 29672 33788 37090 38440 42235 67576 74180 84470 114979 148360 168940 229958 261857 337880 459916 523714 574895 919832 1047428 1149790 1309285 2094856 2299580 2618570 3564349 4599160 5237140 7128698 8117567 10474280 14257396 16235134 17821745 28514792 31329923 32470268 35643490 40587835 62659846 64940536 71286980 81175670 125319692 142573960 156649615 162351340 250639384 313299230 324702680 626598460 971227613 1253196920 1942455226 3884910452 4856138065 7769820904 9712276130 19424552260 30108056003 38849104520 60216112006 120432224012 150540280015 240864448024 301080560030 602161120060 1204322240120