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12202220111220 = 22325148913455233
BaseRepresentation
bin1011000110010000110011…
…1111101100010101110100
31121012112001200220010100100
42301210030333230111310
53044410121322024340
641541342244514100
72366403250416666
oct261441477542564
947175050803310
1012202220111220
113984a29161467
121450a569ab930
136a6883962329
1430283a894536
1516261b235830
hexb190cfec574

12202220111220 has 72 divisors (see below), whose sum is σ = 37013730868296. Its totient is φ = 3253896364032.

The previous prime is 12202220111219. The next prime is 12202220111227. The reversal of 12202220111220 is 2211102220221.

It is a happy number.

12202220111220 is a `hidden beast` number, since 1 + 220 + 2 + 220 + 1 + 1 + 1 + 220 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3087484751376 + 9114735359844 = 1757124^2 + 3019062^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 12202220111193 and 12202220111202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12202220111227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26576724 + ... + 27031956.

It is an arithmetic number, because the mean of its divisors is an integer number (514079595393).

Almost surely, 212202220111220 is an apocalyptic number.

12202220111220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12202220111220 is an abundant number, since it is smaller than the sum of its proper divisors (24811510757076).

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

12202220111220 is a wasteful number, since it uses less digits than its factorization.

12202220111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604161 (or 604156 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12202220111220 its reverse (2211102220221), we get a palindrome (14413322331441).

The spelling of 12202220111220 in words is "twelve trillion, two hundred two billion, two hundred twenty million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 148913 297826 446739 455233 595652 744565 893478 910466 1340217 1365699 1489130 1786956 1820932 2233695 2276165 2680434 2731398 2978260 4097097 4467390 4552330 5360868 5462796 6701085 6828495 8194194 8934780 9104660 13402170 13656990 16388388 20485485 26804340 27313980 40970970 81941940 67790111729 135580223458 203370335187 271160446916 338950558645 406740670374 610111005561 677901117290 813481340748 1016851675935 1220222011122 1355802234580 2033703351870 2440444022244 3050555027805 4067406703740 6101110055610 12202220111220