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12202112220 = 22351391579319
BaseRepresentation
bin10110101110100110…
…10111010011011100
31011111101102112012020
423113103113103130
5144442220042340
65334445340140
7611244146124
oct132723272334
934441375166
1012202112220
1151a1857571
122446567650
1311c5cab35c
1483a7cdc84
154b63959d0
hex2d74d74dc

12202112220 has 96 divisors (see below), whose sum is σ = 34634611200. Its totient is φ = 3209566464.

The previous prime is 12202112201. The next prime is 12202112233. The reversal of 12202112220 is 2221120221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12202112220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1304721 + ... + 1314039.

It is an arithmetic number, because the mean of its divisors is an integer number (360777200).

Almost surely, 212202112220 is an apocalyptic number.

12202112220 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 12202112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17317305600).

12202112220 is an abundant number, since it is smaller than the sum of its proper divisors (22432498980).

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

12202112220 is a wasteful number, since it uses less digits than its factorization.

12202112220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9627 (or 9625 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12202112220 its reverse (2221120221), we get a palindrome (14423232441).

The spelling of 12202112220 in words is "twelve billion, two hundred two million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 139 157 278 314 417 471 556 628 695 785 834 942 1390 1570 1668 1884 2085 2355 2780 3140 4170 4710 8340 9319 9420 18638 21823 27957 37276 43646 46595 55914 65469 87292 93190 109115 111828 130938 139785 186380 218230 261876 279570 327345 436460 559140 654690 1295341 1309380 1463083 2590682 2926166 3886023 4389249 5181364 5852332 6476705 7315415 7772046 8778498 12953410 14630830 15544092 17556996 19430115 21946245 25906820 29261660 38860230 43892490 77720460 87784980 203368537 406737074 610105611 813474148 1016842685 1220211222 2033685370 2440422444 3050528055 4067370740 6101056110 12202112220