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20121011196 = 223111314518081
BaseRepresentation
bin10010101111010011…
…100100001111111100
31220221021020021101220
4102233103210033330
5312201434324241
613124331033340
71311421526136
oct225723441774
956837207356
1020121011196
118595871580
123a9659b850
131b88796bb0
14d8c3c6056
157cb6c1166
hex4af4e43fc

20121011196 has 96 divisors (see below), whose sum is σ = 55201741056. Its totient is φ = 5623680000.

The previous prime is 20121011177. The next prime is 20121011201. The reversal of 20121011196 is 69111012102.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2485876 + ... + 2493956.

It is an arithmetic number, because the mean of its divisors is an integer number (575018136).

Almost surely, 220121011196 is an apocalyptic number.

20121011196 is a gapful number since it is divisible by the number (26) 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 20121011196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27600870528).

20121011196 is an abundant number, since it is smaller than the sum of its proper divisors (35080729860).

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

20121011196 is a wasteful number, since it uses less digits than its factorization.

20121011196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9563 (or 9561 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 24.

Adding to 20121011196 its reverse (69111012102), we get a palindrome (89232023298).

The spelling of 20121011196 in words is "twenty billion, one hundred twenty-one million, eleven thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 286 429 572 858 1451 1716 2902 4353 5804 8081 8706 15961 16162 17412 18863 24243 31922 32324 37726 47883 48486 56589 63844 75452 88891 95766 96972 105053 113178 177782 191532 207493 210106 226356 266673 315159 355564 414986 420212 533346 622479 630318 829972 1066692 1155583 1244958 1260636 2311166 2489916 3466749 4622332 6933498 11725531 13866996 23451062 35176593 46902124 70353186 128980841 140706372 152431903 257961682 304863806 386942523 457295709 515923364 609727612 773885046 914591418 1547770092 1676750933 1829182836 3353501866 5030252799 6707003732 10060505598 20121011196