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20121211120104 = 23324317873636877
BaseRepresentation
bin1001001001100110101011…
…01001000010100111101000
32122020120100210120101121100
410210303111221002213220
510114131220021320404
6110443320133041400
74144465240365453
oct444632551024750
978216323511540
1020121211120104
1164583a3133666
12230b760a86260
13b2c564386c03
144d7c2c38a49a
1524d5eb321d39
hex124cd5a429e8

20121211120104 has 96 divisors (see below), whose sum is σ = 55793490873120. Its totient is φ = 6547424220288.

The previous prime is 20121211120037. The next prime is 20121211120111. The reversal of 20121211120104 is 40102111212102.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3714114 + ... + 7350990.

It is an arithmetic number, because the mean of its divisors is an integer number (581182196595).

Almost surely, 220121211120104 is an apocalyptic number.

20121211120104 is a gapful number since it is divisible by the number (24) 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 20121211120104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27896745436560).

20121211120104 is an abundant number, since it is smaller than the sum of its proper divisors (35672279753016).

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

20121211120104 is a wasteful number, since it uses less digits than its factorization.

20121211120104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3638719 (or 3638712 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 20121211120104 its reverse (40102111212102), we get a palindrome (60223322332206).

The spelling of 20121211120104 in words is "twenty trillion, one hundred twenty-one billion, two hundred eleven million, one hundred twenty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 129 172 258 344 387 516 774 1032 1548 1787 3096 3574 5361 7148 10722 14296 16083 21444 32166 42888 64332 76841 128664 153682 230523 307364 461046 614728 691569 922092 1383138 1844184 2766276 3636877 5532552 7273754 10910631 14547508 21821262 29095016 32731893 43642524 65463786 87285048 130927572 156385711 261855144 312771422 469157133 625542844 938314266 1251085688 1407471399 1876628532 2814942798 3753257064 5629885596 6499099199 11259771192 12998198398 19497297597 25996396796 38994595194 51992793592 58491892791 77989190388 116983785582 155978380776 233967571164 279461265557 467935142328 558922531114 838383796671 1117845062228 1676767593342 2235690124456 2515151390013 3353535186684 5030302780026 6707070373368 10060605560052 20121211120104