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12121011220 = 22517412293797
BaseRepresentation
bin10110100100111011…
…11111010000010100
31011021201211011112111
423102131333100110
5144310434324340
65322431200404
7606240616063
oct132235772024
934251734474
1012121011220
11515aaa414a
122423376104
1311b2253ab6
1482db1c1da
154ae1c5aea
hex2d277f414

12121011220 has 96 divisors (see below), whose sum is σ = 27736642080. Its totient is φ = 4431298560.

The previous prime is 12121011173. The next prime is 12121011223. The reversal of 12121011220 is 2211012121.

It can be written as a sum of positive squares in 16 ways, for example, as 4710900496 + 7410110724 = 68636^2 + 86082^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12121011220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12121011223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3190362 + ... + 3194158.

It is an arithmetic number, because the mean of its divisors is an integer number (288923355).

Almost surely, 212121011220 is an apocalyptic number.

12121011220 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 12121011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13868321040).

12121011220 is an abundant number, since it is smaller than the sum of its proper divisors (15615630860).

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

12121011220 is a wasteful number, since it uses less digits than its factorization.

12121011220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4093 (or 4091 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12121011220 its reverse (2211012121), we get a palindrome (14332023341).

Subtracting from 12121011220 its reverse (2211012121), we obtain a palindrome (9909999099).

The spelling of 12121011220 in words is "twelve billion, one hundred twenty-one million, eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 41 68 82 85 164 170 205 229 340 410 458 697 820 916 1145 1394 2290 2788 3485 3797 3893 4580 6970 7594 7786 9389 13940 15188 15572 18778 18985 19465 37556 37970 38930 46945 64549 75940 77860 93890 129098 155677 159613 187780 258196 311354 319226 322745 622708 638452 645490 778385 798065 869513 1290980 1556770 1596130 1739026 2646509 3113540 3192260 3478052 4347565 5293018 8695130 10586036 13232545 14781721 17390260 26465090 29563442 35650033 52930180 59126884 71300066 73908605 142600132 147817210 178250165 295634420 356500330 606050561 713000660 1212101122 2424202244 3030252805 6060505610 12121011220