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120430212 = 223710713399
BaseRepresentation
bin1110010110110…
…01111010000100
322101121111012020
413023121322010
5221312231322
615541123140
72661432330
oct713317204
9271544166
10120430212
1161a86001
12343b94b0
131bc479a6
1411dcc7c0
15a88d05c
hex72d9e84

120430212 has 48 divisors (see below), whose sum is σ = 324172800. Its totient is φ = 34084512.

The previous prime is 120430169. The next prime is 120430241. The reversal of 120430212 is 212034021.

It is a junction number, because it is equal to n+sod(n) for n = 120430191 and 120430200.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2289 + ... + 15687.

It is an arithmetic number, because the mean of its divisors is an integer number (6753600).

Almost surely, 2120430212 is an apocalyptic number.

120430212 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 120430212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162086400).

120430212 is an abundant number, since it is smaller than the sum of its proper divisors (203742588).

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

120430212 is a wasteful number, since it uses less digits than its factorization.

120430212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13520 (or 13518 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 120430212 is about 10974.0699833744. The cubic root of 120430212 is about 493.8311529911.

Adding to 120430212 its reverse (212034021), we get a palindrome (332464233).

The spelling of 120430212 in words is "one hundred twenty million, four hundred thirty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 107 214 321 428 642 749 1284 1498 2247 2996 4494 8988 13399 26798 40197 53596 80394 93793 160788 187586 281379 375172 562758 1125516 1433693 2867386 4301079 5734772 8602158 10035851 17204316 20071702 30107553 40143404 60215106 120430212