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20121201012 = 223111011579613
BaseRepresentation
bin10010101111010100…
…010010100101110100
31220221021120220210010
4102233110102211310
5312202011413022
613124335100220
71311423246423
oct225724224564
956837526703
1020121201012
118595991150
123a96671670
131b88832403
14d8c4352ba
157cb70c50c
hex4af512974

20121201012 has 96 divisors (see below), whose sum is σ = 52059579264. Its totient is φ = 5997888000.

The previous prime is 20121200989. The next prime is 20121201017. The reversal of 20121201012 is 21010212102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20121201017) 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 31 ways as a sum of consecutive naturals, for example, 2088318 + ... + 2097930.

It is an arithmetic number, because the mean of its divisors is an integer number (542287284).

Almost surely, 220121201012 is an apocalyptic number.

20121201012 is a gapful number since it is divisible by the number (22) 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 20121201012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26029789632).

20121201012 is an abundant number, since it is smaller than the sum of its proper divisors (31938378252).

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

20121201012 is a wasteful number, since it uses less digits than its factorization.

20121201012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9889 (or 9887 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20121201012 its reverse (21010212102), we get a palindrome (41131413114).

The spelling of 20121201012 in words is "twenty billion, one hundred twenty-one million, two hundred one thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 132 157 202 303 314 404 471 606 628 942 1111 1212 1727 1884 2222 3333 3454 4444 5181 6666 6908 9613 10362 13332 15857 19226 20724 28839 31714 38452 47571 57678 63428 95142 105743 115356 174427 190284 211486 317229 348854 422972 523281 634458 697708 970913 1046562 1268916 1509241 1941826 2093124 2912739 3018482 3883652 4527723 5825478 6036964 9055446 10680043 11650956 16601651 18110892 21360086 32040129 33203302 42720172 49804953 64080258 66406604 99609906 128160516 152433341 199219812 304866682 457300023 609733364 914600046 1676766751 1829200092 3353533502 5030300253 6707067004 10060600506 20121201012