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12201222100 = 22521314312161
BaseRepresentation
bin10110101110011111…
…11101111111010100
31011111022202022011211
423113033331333110
5144442003101400
65334414311204
7611233451044
oct132717757724
934438668154
1012201222100
1151a12a9831
1224461b8504
1311c5a59162
1483a63b724
154b626bdba
hex2d73fdfd4

12201222100 has 72 divisors (see below), whose sum is σ = 26753037696. Its totient is φ = 4829760000.

The previous prime is 12201222073. The next prime is 12201222139. The reversal of 12201222100 is 122210221.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5645020 + ... + 5647180.

It is an arithmetic number, because the mean of its divisors is an integer number (371569968).

Almost surely, 212201222100 is an apocalyptic number.

12201222100 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 12201222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13376518848).

12201222100 is an abundant number, since it is smaller than the sum of its proper divisors (14551815596).

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

12201222100 is a wasteful number, since it uses less digits than its factorization.

12201222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2737 (or 2730 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12201222100 its reverse (122210221), we get a palindrome (12323432321).

The spelling of 12201222100 in words is "twelve billion, two hundred one million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 131 262 431 524 655 862 1310 1724 2155 2161 2620 3275 4310 4322 6550 8620 8644 10775 10805 13100 21550 21610 43100 43220 54025 56461 108050 112922 216100 225844 282305 283091 564610 566182 931391 1129220 1132364 1411525 1415455 1862782 2823050 2830910 3725564 4656955 5646100 5661820 7077275 9313910 14154550 18627820 23284775 28309100 46569550 93139100 122012221 244024442 488048884 610061105 1220122210 2440244420 3050305525 6100611050 12201222100