Search a number
-
+
120345012 = 223219296067
BaseRepresentation
bin1110010110001…
…01000110110100
322101110011022200
413023011012310
5221302020022
615535224500
72660626044
oct713050664
9271404280
10120345012
1161a27a97
1234378130
131bc17c88
1411da9724
15a872bac
hex72c51b4

120345012 has 72 divisors (see below), whose sum is σ = 331312800. Its totient is φ = 36687168.

The previous prime is 120345011. The next prime is 120345013. The reversal of 120345012 is 210543021.

120345012 is a `hidden beast` number, since 1 + 203 + 450 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (120345011) and next prime (120345013).

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 (120345011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16803 + ... + 22869.

Almost surely, 2120345012 is an apocalyptic number.

120345012 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 120345012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165656400).

120345012 is an abundant number, since it is smaller than the sum of its proper divisors (210967788).

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

120345012 is a wasteful number, since it uses less digits than its factorization.

120345012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6125 (or 6120 counting only the distinct ones).

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

The square root of 120345012 is about 10970.1874186360. The cubic root of 120345012 is about 493.7146696506.

Adding to 120345012 its reverse (210543021), we get a palindrome (330888033).

The spelling of 120345012 in words is "one hundred twenty million, three hundred forty-five thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 19 29 36 38 57 58 76 87 114 116 171 174 228 261 342 348 522 551 684 1044 1102 1653 2204 3306 4959 6067 6612 9918 12134 18201 19836 24268 36402 54603 72804 109206 115273 175943 218412 230546 345819 351886 461092 527829 691638 703772 1037457 1055658 1383276 1583487 2074914 2111316 3166974 3342917 4149828 6333948 6685834 10028751 13371668 20057502 30086253 40115004 60172506 120345012