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12111212100 = 22352133105439
BaseRepresentation
bin10110100011110001…
…00110111001000100
31011021001101022200010
423101320212321010
5144300432241400
65321441150220
7606061414161
oct132170467104
934231338603
1012111212100
1151555109a9
12242002b370
1311b02027c0
1482c6cb068
154ad3dc450
hex2d1e26e44

12111212100 has 72 divisors (see below), whose sum is σ = 37737306880. Its totient is φ = 2981220480.

The previous prime is 12111212093. The next prime is 12111212101. The reversal of 12111212100 is 121211121.

12111212100 = T10263 + T10264 + ... + T10487.

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

It is not an unprimeable number, because it can be changed into a prime (12111212101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1548820 + ... + 1556619.

Almost surely, 212111212100 is an apocalyptic number.

12111212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12111212100 is an abundant number, since it is smaller than the sum of its proper divisors (25626094780).

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

12111212100 is a wasteful number, since it uses less digits than its factorization.

12111212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3105469 (or 3105462 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12111212100 its reverse (121211121), we get a palindrome (12232423221).

The spelling of 12111212100 in words is "twelve billion, one hundred eleven million, two hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3900 3105439 6210878 9316317 12421756 15527195 18632634 31054390 37265268 40370707 46581585 62108780 77635975 80741414 93163170 121112121 155271950 161482828 186326340 201853535 232907925 242224242 310543900 403707070 465815850 484448484 605560605 807414140 931631700 1009267675 1211121210 2018535350 2422242420 3027803025 4037070700 6055606050 12111212100