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12034220 = 22511192879
BaseRepresentation
bin101101111010…
…000010101100
3211122101211212
4231322002230
511040043340
61105533552
7204201122
oct55720254
924571755
1012034220
11687a540
1240442b8
132654753
141853912
1510caa65
hexb7a0ac

12034220 has 48 divisors (see below), whose sum is σ = 29030400. Its totient is φ = 4144320.

The previous prime is 12034219. The next prime is 12034229. The reversal of 12034220 is 2243021.

12034220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12034195 and 12034204.

It is not an unprimeable number, because it can be changed into a prime (12034229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2741 + ... + 5619.

It is an arithmetic number, because the mean of its divisors is an integer number (604800).

Almost surely, 212034220 is an apocalyptic number.

12034220 is a gapful number since it is divisible by the number (10) 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 12034220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14515200).

12034220 is an abundant number, since it is smaller than the sum of its proper divisors (16996180).

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

12034220 is a wasteful number, since it uses less digits than its factorization.

12034220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2918 (or 2916 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 12034220 is about 3469.0373304420. The cubic root of 12034220 is about 229.1602648717.

Adding to 12034220 its reverse (2243021), we get a palindrome (14277241).

The spelling of 12034220 in words is "twelve million, thirty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 380 418 836 1045 2090 2879 4180 5758 11516 14395 28790 31669 54701 57580 63338 109402 126676 158345 218804 273505 316690 547010 601711 633380 1094020 1203422 2406844 3008555 6017110 12034220