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12114220 = 2253071973
BaseRepresentation
bin101110001101…
…100100101100
3211210110120211
4232031210230
511100123340
61111352204
7204653266
oct56154454
924713524
1012114220
116924658
124082664
132681ca1
141874b36
1510e45ea
hexb8d92c

12114220 has 24 divisors (see below), whose sum is σ = 25535664. Its totient is φ = 4827456.

The previous prime is 12114197. The next prime is 12114227. The reversal of 12114220 is 2241121.

12114220 = T388 + T389 + ... + T507.

It is a happy number.

12114220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×121142203 (a number of 22 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12114220.

It is not an unprimeable number, because it can be changed into a prime (12114227) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5154 + ... + 7126.

It is an arithmetic number, because the mean of its divisors is an integer number (1063986).

Almost surely, 212114220 is an apocalyptic number.

12114220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12114220 is an abundant number, since it is smaller than the sum of its proper divisors (13421444).

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

12114220 is a wasteful number, since it uses less digits than its factorization.

12114220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2289 (or 2287 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 12114220 is about 3480.5488073004. The cubic root of 12114220 is about 229.6669407455. Note that the first 3 decimals are identical.

Adding to 12114220 its reverse (2241121), we get a palindrome (14355341).

It can be divided in two parts, 121 and 14220, that added together give a palindrome (14341).

The spelling of 12114220 in words is "twelve million, one hundred fourteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 307 614 1228 1535 1973 3070 3946 6140 7892 9865 19730 39460 605711 1211422 2422844 3028555 6057110 12114220