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12200111220 = 223511131141107
BaseRepresentation
bin10110101110010111…
…01110110001110100
31011111020122212100010
423113023232301310
5144441212024340
65334334420220
7611221143243
oct132713566164
934436585303
1012200111220
1151a0710150
122445961670
1311c575a62b
1483a42c95a
154b60ecb80
hex2d72eec74

12200111220 has 96 divisors (see below), whose sum is σ = 37550532096. Its totient is φ = 2935004800.

The previous prime is 12200111219. The next prime is 12200111221. The reversal of 12200111220 is 2211100221.

It is an interprime number because it is at equal distance from previous prime (12200111219) and next prime (12200111221).

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

It is a junction number, because it is equal to n+sod(n) for n = 12200111196 and 12200111205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12200111221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15907 + ... + 157013.

It is an arithmetic number, because the mean of its divisors is an integer number (391151376).

Almost surely, 212200111220 is an apocalyptic number.

12200111220 is a gapful number since it is divisible by the number (10) 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 12200111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18775266048).

12200111220 is an abundant number, since it is smaller than the sum of its proper divisors (25350420876).

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

12200111220 is a wasteful number, since it uses less digits than its factorization.

12200111220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141261 (or 141259 counting only the distinct ones).

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

Adding to 12200111220 its reverse (2211100221), we get a palindrome (14411211441).

The spelling of 12200111220 in words is "twelve billion, two hundred million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 131 132 165 220 262 330 393 524 655 660 786 1310 1441 1572 1965 2620 2882 3930 4323 5764 7205 7860 8646 14410 17292 21615 28820 43230 86460 141107 282214 423321 564428 705535 846642 1411070 1552177 1693284 2116605 2822140 3104354 4233210 4656531 6208708 7760885 8466420 9313062 15521770 18485017 18626124 23282655 31043540 36970034 46565310 55455051 73940068 92425085 93130620 110910102 184850170 203335187 221820204 277275255 369700340 406670374 554550510 610005561 813340748 1016675935 1109101020 1220011122 2033351870 2440022244 3050027805 4066703740 6100055610 12200111220