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412120111104 = 21132131719919
BaseRepresentation
bin1011111111101000100…
…01011101100000000000
31110101202100200210210200
411333310101131200000
523223010222023404
6513154140125200
741526502100622
oct5776421354000
91411670623720
10412120111104
11149863071249
1267a56236800
132cb2a638510
1415d37b28c12
15aac0992839
hex5ff445d800

412120111104 has 144 divisors (see below), whose sum is σ = 1281839176800. Its totient is φ = 126806114304.

The previous prime is 412120111057. The next prime is 412120111163. The reversal of 412120111104 is 401111021214.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 620344 + ... + 1099575.

It is an arithmetic number, because the mean of its divisors is an integer number (8901660950).

Almost surely, 2412120111104 is an apocalyptic number.

It is an amenable number.

412120111104 is an abundant number, since it is smaller than the sum of its proper divisors (869719065696).

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

412120111104 is a wasteful number, since it uses less digits than its factorization.

412120111104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1719960 (or 1719937 counting only the distinct ones).

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

Adding to 412120111104 its reverse (401111021214), we get a palindrome (813231132318).

It can be divided in two parts, 4121 and 20111104, that added together give a square (20115225 = 44852).

The spelling of 412120111104 in words is "four hundred twelve billion, one hundred twenty million, one hundred eleven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 768 832 936 1024 1152 1248 1536 1664 1872 2048 2304 2496 3072 3328 3744 4608 4992 6144 6656 7488 9216 9984 13312 14976 18432 19968 26624 29952 39936 59904 79872 119808 239616 1719919 3439838 5159757 6879676 10319514 13759352 15479271 20639028 22358947 27518704 30958542 41278056 44717894 55037408 61917084 67076841 82556112 89435788 110074816 123834168 134153682 165112224 178871576 201230523 220149632 247668336 268307364 330224448 357743152 402461046 440299264 495336672 536614728 660448896 715486304 804922092 880598528 990673344 1073229456 1320897792 1430972608 1609844184 1761197056 1981346688 2146458912 2641795584 2861945216 3219688368 3522394112 3962693376 4292917824 5283591168 5723890432 6439376736 7925386752 8585835648 10567182336 11447780864 12878753472 15850773504 17171671296 22895561728 25757506944 31701547008 34343342592 45791123456 51515013888 68686685184 103030027776 137373370368 206060055552 412120111104