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122211034044 = 2231131316991741
BaseRepresentation
bin111000111010001011…
…0000110001110111100
3102200110002121210000020
41301310112012032330
54000242011042134
6132050514332140
711554334435541
oct1616426061674
9380402553006
10122211034044
1147913a40790
121b82828a050
13b6a82b0138
145cb4c56bc8
1532a4151b49
hex1c745863bc

122211034044 has 96 divisors (see below), whose sum is σ = 312439545600. Its totient is φ = 36872409600.

The previous prime is 122211034031. The next prime is 122211034073. The reversal of 122211034044 is 440430112221.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70195014 + ... + 70196754.

It is an arithmetic number, because the mean of its divisors is an integer number (3254578600).

Almost surely, 2122211034044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122211034044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156219772800).

122211034044 is an abundant number, since it is smaller than the sum of its proper divisors (190228511556).

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

122211034044 is a wasteful number, since it uses less digits than its factorization.

122211034044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3771 (or 3769 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 122211034044 its reverse (440430112221), we get a palindrome (562641146265).

The spelling of 122211034044 in words is "one hundred twenty-two billion, two hundred eleven million, thirty-four thousand, forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 313 626 939 1252 1699 1741 1878 3398 3443 3482 3756 5097 5223 6796 6886 6964 10194 10329 10446 13772 18689 19151 20388 20658 20892 37378 38302 41316 56067 57453 74756 76604 112134 114906 224268 229812 531787 544933 1063574 1089866 1595361 1634799 2127148 2179732 2957959 3190722 3269598 5849657 5915918 5994263 6381444 6539196 8873877 11699314 11831836 11988526 17548971 17747754 17982789 23398628 23977052 32537549 35097942 35495508 35965578 65075098 70195884 71931156 97612647 130150196 195225294 390450588 925841167 1851682334 2777523501 3703364668 5555047002 10184252837 11110094004 20368505674 30552758511 40737011348 61105517022 122211034044