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12120200112 = 2433710976221
BaseRepresentation
bin10110100100110101…
…11001001110110000
31011021200021221220110
423102122321032300
5144310232400422
65322401541320
7606231000246
oct132232711660
934250257813
1012120200112
11515a59a809
122423044840
1311b202b857
1482d98a796
154ae0b560c
hex2d26b93b0

12120200112 has 80 divisors (see below), whose sum is σ = 32191234272. Its totient is φ = 3926661120.

The previous prime is 12120200101. The next prime is 12120200119. The reversal of 12120200112 is 21100202121.

12120200112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (12120200119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1945162 + ... + 1951382.

Almost surely, 212120200112 is an apocalyptic number.

12120200112 is a gapful number since it is divisible by the number (12) 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 12120200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16095617136).

12120200112 is an abundant number, since it is smaller than the sum of its proper divisors (20071034160).

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

12120200112 is a wasteful number, since it uses less digits than its factorization.

12120200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7366 (or 7360 counting only the distinct ones).

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

Adding to 12120200112 its reverse (21100202121), we get a palindrome (33220402233).

The spelling of 12120200112 in words is "twelve billion, one hundred twenty million, two hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 444 592 888 1097 1776 2194 3291 4388 6221 6582 8776 12442 13164 17552 18663 24884 26328 37326 40589 49768 52656 74652 81178 99536 121767 149304 162356 230177 243534 298608 324712 460354 487068 649424 690531 920708 974136 1381062 1841416 1948272 2762124 3682832 5524248 6824437 11048496 13648874 20473311 27297748 40946622 54595496 81893244 109190992 163786488 252504169 327572976 505008338 757512507 1010016676 1515025014 2020033352 3030050028 4040066704 6060100056 12120200112