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12112122100 = 2252139317017
BaseRepresentation
bin10110100011111000…
…00101000011110100
31011021010002112221211
423101330011003310
5144301200401400
65321512451204
7606102224221
oct132174050364
934233075854
1012112122100
115155a82671
1224203a9b04
1311b0460a70
1482c886948
154ad51bdba
hex2d1f050f4

12112122100 has 36 divisors (see below), whose sum is σ = 28305100684. Its totient is φ = 4472167680.

The previous prime is 12112122089. The next prime is 12112122103. The reversal of 12112122100 is 122121121.

It can be written as a sum of positive squares in 6 ways, for example, as 2513217424 + 9598904676 = 50132^2 + 97974^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12112122103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4657209 + ... + 4659808.

Almost surely, 212112122100 is an apocalyptic number.

12112122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12112122100 is an abundant number, since it is smaller than the sum of its proper divisors (16192978584).

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

12112122100 is a wasteful number, since it uses less digits than its factorization.

12112122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9317044 (or 9317037 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12112122100 its reverse (122121121), we get a palindrome (12234243221).

The spelling of 12112122100 in words is "twelve billion, one hundred twelve million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 9317017 18634034 37268068 46585085 93170170 121121221 186340340 232925425 242242442 465850850 484484884 605606105 931701700 1211212210 2422424420 3028030525 6056061050 12112122100