Search a number
-
+
1221020121020 = 225726471925717
BaseRepresentation
bin10001110001001010011…
…110000111011110111100
311022201122222202220012012
4101301022132013132330
5130001122122333040
62332532350430352
7154134005532500
oct21611236073674
94281588686165
101221020121020
11430917032137
121787852023b8
138b1ac42603b
14431520b8300
1521b652ae865
hex11c4a7877bc

1221020121020 has 72 divisors (see below), whose sum is σ = 2987389442016. Its totient is φ = 417988212096.

The previous prime is 1221020120993. The next prime is 1221020121047. The reversal of 1221020121020 is 201210201221.

It is an interprime number because it is at equal distance from previous prime (1221020120993) and next prime (1221020121047).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1221020120986 and 1221020121004.

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, 328799 + ... + 1596918.

It is an arithmetic number, because the mean of its divisors is an integer number (41491520028).

Almost surely, 21221020121020 is an apocalyptic number.

1221020121020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1221020121020 is an abundant number, since it is smaller than the sum of its proper divisors (1766369320996).

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

1221020121020 is a wasteful number, since it uses less digits than its factorization.

1221020121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1926387 (or 1926378 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1221020121020 its reverse (201210201221), we get a palindrome (1422230322241).

The spelling of 1221020121020 in words is "one trillion, two hundred twenty-one billion, twenty million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 647 980 1294 2588 3235 4529 6470 9058 12940 18116 22645 31703 45290 63406 90580 126812 158515 317030 634060 1925717 3851434 7702868 9628585 13480019 19257170 26960038 38514340 53920076 67400095 94360133 134800190 188720266 269600380 377440532 471800665 943601330 1245938899 1887202660 2491877798 4983755596 6229694495 8721572293 12459388990 17443144586 24918777980 34886289172 43607861465 61051006051 87215722930 122102012102 174431445860 244204024204 305255030255 610510060510 1221020121020