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1211728112 = 247291931933
BaseRepresentation
bin100100000111001…
…1000000011110000
310010110002011110222
41020032120003300
54440200244422
6320123312212
742012343010
oct11016300360
93113064428
101211728112
11571a972a1
1229997b668
1316406c7aa
14b6d03c40
15715a5842
hex483980f0

1211728112 has 80 divisors (see below), whose sum is σ = 2791458240. Its totient is φ = 498548736.

The previous prime is 1211728069. The next prime is 1211728121. The reversal of 1211728112 is 2118271121.

It is a happy number.

It is a super-2 number, since 2×12117281122 = 2936570034822169088, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 625898 + ... + 627830.

It is an arithmetic number, because the mean of its divisors is an integer number (34893228).

Almost surely, 21211728112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1211728112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395729120).

1211728112 is an abundant number, since it is smaller than the sum of its proper divisors (1579730128).

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

1211728112 is a wasteful number, since it uses less digits than its factorization.

1211728112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2170 (or 2164 counting only the distinct ones).

The product of its digits is 448, while the sum is 26.

The square root of 1211728112 is about 34809.8852626664. The cubic root of 1211728112 is about 1066.1092902226.

Adding to 1211728112 its reverse (2118271121), we get a palindrome (3329999233).

The spelling of 1211728112 in words is "one billion, two hundred eleven million, seven hundred twenty-eight thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 112 116 193 203 232 386 406 464 772 812 1351 1544 1624 1933 2702 3088 3248 3866 5404 5597 7732 10808 11194 13531 15464 21616 22388 27062 30928 39179 44776 54124 56057 78358 89552 108248 112114 156716 216496 224228 313432 373069 392399 448456 626864 746138 784798 896912 1492276 1569596 2611483 2984552 3139192 5222966 5969104 6278384 10445932 10819001 20891864 21638002 41783728 43276004 75733007 86552008 151466014 173104016 302932028 605864056 1211728112