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120223512 = 233210915319
BaseRepresentation
bin1110010101001…
…11011100011000
322101012222122200
413022213130120
5221234123022
615532450200
72656611603
oct712473430
9271188580
10120223512
1161954782
1234319960
131bba4896
1411d7733a
15a84bbac
hex72a7718

120223512 has 48 divisors (see below), whose sum is σ = 328614000. Its totient is φ = 39704256.

The previous prime is 120223511. The next prime is 120223517. The reversal of 120223512 is 215322021.

It is a super-2 number, since 2×1202235122 = 28907385675228288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120223511) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 189 + ... + 15507.

It is an arithmetic number, because the mean of its divisors is an integer number (6846125).

Almost surely, 2120223512 is an apocalyptic number.

120223512 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 120223512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164307000).

120223512 is an abundant number, since it is smaller than the sum of its proper divisors (208390488).

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

120223512 is a wasteful number, since it uses less digits than its factorization.

120223512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15440 (or 15433 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 120223512 is about 10964.6482843728. The cubic root of 120223512 is about 493.5484627037.

Adding to 120223512 its reverse (215322021), we get a palindrome (335545533).

The spelling of 120223512 in words is "one hundred twenty million, two hundred twenty-three thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 109 218 327 436 654 872 981 1308 1962 2616 3924 7848 15319 30638 45957 61276 91914 122552 137871 183828 275742 367656 551484 1102968 1669771 3339542 5009313 6679084 10018626 13358168 15027939 20037252 30055878 40074504 60111756 120223512