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12120120020 = 2252323593191
BaseRepresentation
bin10110100100110101…
…00101101011010100
31011021200010220001002
423102122211223110
5144310222320040
65322400122432
7606230214611
oct132232455324
934250126032
1012120120020
11515a545618
122423006418
1311b2001268
1482d969508
154ae09ba15
hex2d26a5ad4

12120120020 has 72 divisors (see below), whose sum is σ = 26689461120. Its totient is φ = 4622896960.

The previous prime is 12120120011. The next prime is 12120120049. The reversal of 12120120020 is 2002102121.

It is a happy number.

12120120020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12120119983 and 12120120010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3796625 + ... + 3799815.

It is an arithmetic number, because the mean of its divisors is an integer number (370686960).

Almost surely, 212120120020 is an apocalyptic number.

12120120020 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 12120120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13344730560).

12120120020 is an abundant number, since it is smaller than the sum of its proper divisors (14569341100).

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

12120120020 is a wasteful number, since it uses less digits than its factorization.

12120120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3605 (or 3580 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12120120020 its reverse (2002102121), we get a palindrome (14122222141).

The spelling of 12120120020 in words is "twelve billion, one hundred twenty million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 359 460 529 718 1058 1436 1795 2116 2645 3191 3590 5290 6382 7180 8257 10580 12764 15955 16514 31910 33028 41285 63820 73393 82570 146786 165140 189911 293572 366965 379822 733930 759644 949555 1145569 1467860 1688039 1899110 2291138 3376078 3798220 4582276 5727845 6752156 8440195 11455690 16880390 22911380 26348087 33760780 52696174 105392348 131740435 263480870 526961740 606006001 1212012002 2424024004 3030030005 6060060010 12120120020