Search a number
-
+
12121020324 = 2232760779241
BaseRepresentation
bin10110100100111100…
…00001011110100100
31011021201211122000200
423102132001132210
5144310440122244
65322431310500
7606240654450
oct132236013644
934251748020
1012121020324
11515aaaaa76
12242337b430
1311b2257c9a
1482db21660
154ae1c8669
hex2d27817a4

12121020324 has 72 divisors (see below), whose sum is σ = 35074411008. Its totient is φ = 3457399680.

The previous prime is 12121020319. The next prime is 12121020343. The reversal of 12121020324 is 42302012121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12121020297 and 12121020306.

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, 113344 + ... + 192584.

Almost surely, 212121020324 is an apocalyptic number.

12121020324 is a gapful number since it is divisible by the number (14) 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 12121020324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17537205504).

12121020324 is an abundant number, since it is smaller than the sum of its proper divisors (22953390684).

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

12121020324 is a wasteful number, since it uses less digits than its factorization.

12121020324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79865 (or 79860 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12121020324 its reverse (42302012121), we get a palindrome (54423032445).

The spelling of 12121020324 in words is "twelve billion, one hundred twenty-one million, twenty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 607 1214 1821 2428 3642 4249 5463 7284 8498 10926 12747 16996 21852 25494 38241 50988 76482 79241 152964 158482 237723 316964 475446 554687 713169 950892 1109374 1426338 1664061 2218748 2852676 3328122 4992183 6656244 9984366 19968732 48099287 96198574 144297861 192397148 288595722 336695009 432893583 577191444 673390018 865787166 1010085027 1346780036 1731574332 2020170054 3030255081 4040340108 6060510162 12121020324