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212124120 = 233513135977
BaseRepresentation
bin11001010010011…
…00000111011000
3112210011000120220
430221030013120
5413300432440
633014320040
75154011445
oct1451140730
9483130526
10212124120
11a9813a9a
125b059020
1334c40940
142025a9cc
15139518d0
hexca4c1d8

212124120 has 64 divisors (see below), whose sum is σ = 685329120. Its totient is φ = 52214784.

The previous prime is 212124109. The next prime is 212124127. The reversal of 212124120 is 21421212.

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 212124120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212124127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66429 + ... + 69548.

Almost surely, 2212124120 is an apocalyptic number.

212124120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212124120 is an abundant number, since it is smaller than the sum of its proper divisors (473205000).

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

212124120 is a wasteful number, since it uses less digits than its factorization.

212124120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136004 (or 136000 counting only the distinct ones).

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

The square root of 212124120 is about 14564.4814531792. The cubic root of 212124120 is about 596.3895400987.

Adding to 212124120 its reverse (21421212), we get a palindrome (233545332).

The spelling of 212124120 in words is "two hundred twelve million, one hundred twenty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 135977 271954 407931 543908 679885 815862 1087816 1359770 1631724 1767701 2039655 2719540 3263448 3535402 4079310 5303103 5439080 7070804 8158620 8838505 10606206 14141608 16317240 17677010 21212412 26515515 35354020 42424824 53031030 70708040 106062060 212124120