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120522112 = 271797571
BaseRepresentation
bin1110010111100…
…00010110000000
322101210011020221
413023300112000
5221323201422
615543112424
72662264264
oct713602600
9271704227
10120522112
1162039057
1234442714
131bc7a779
14120140a4
15a8aa3c7
hex72f0580

120522112 has 64 divisors (see below), whose sum is σ = 257297040. Its totient is φ = 56033280.

The previous prime is 120522107. The next prime is 120522119. The reversal of 120522112 is 211225021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120522119) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 210787 + ... + 211357.

Almost surely, 2120522112 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 120522112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128648520).

120522112 is an abundant number, since it is smaller than the sum of its proper divisors (136774928).

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

120522112 is an equidigital number, since it uses as much as digits as its factorization.

120522112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 120522112 is about 10978.2563278510. The cubic root of 120522112 is about 493.9567348342.

Adding to 120522112 its reverse (211225021), we get a palindrome (331747133).

The spelling of 120522112 in words is "one hundred twenty million, five hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 64 68 97 128 136 194 272 388 544 571 776 1088 1142 1552 1649 2176 2284 3104 3298 4568 6208 6596 9136 9707 12416 13192 18272 19414 26384 36544 38828 52768 55387 73088 77656 105536 110774 155312 211072 221548 310624 443096 621248 886192 941579 1242496 1772384 1883158 3544768 3766316 7089536 7532632 15065264 30130528 60261056 120522112