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12100121332 = 22131493075087
BaseRepresentation
bin10110100010011100…
…10011001011110100
31011020021111211222221
423101032103023310
5144240112340312
65320403332124
7605565222445
oct132116231364
934207454887
1012100121332
11514a226282
122418381044
1311aab1b610
1482b0412cc
154ac44b207
hex2d13932f4

12100121332 has 48 divisors (see below), whose sum is σ = 23036428800. Its totient is φ = 5528034432.

The previous prime is 12100121317. The next prime is 12100121333. The reversal of 12100121332 is 23312100121.

12100121332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12100121333) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2376093 + ... + 2381179.

It is an arithmetic number, because the mean of its divisors is an integer number (479925600).

Almost surely, 212100121332 is an apocalyptic number.

It is an amenable number.

12100121332 is a deficient number, since it is larger than the sum of its proper divisors (10936307468).

12100121332 is a wasteful number, since it uses less digits than its factorization.

12100121332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5560 (or 5558 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 12100121332 its reverse (23312100121), we get a palindrome (35412221453).

The spelling of 12100121332 in words is "twelve billion, one hundred million, one hundred twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 4 13 26 52 149 298 307 596 614 1228 1937 3874 3991 5087 7748 7982 10174 15964 20348 45743 66131 91486 132262 182972 264524 594659 757963 1189318 1515926 1561709 2378636 3031852 3123418 6246836 9853519 19707038 20302217 39414076 40604434 81208868 232694641 465389282 930778564 3025030333 6050060666 12100121332