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12180252 = 2237373919
BaseRepresentation
bin101110011101…
…101100011100
3211220211011110
4232131230130
511104232002
61113022020
7205346640
oct56355434
924824143
1012180252
11696a227
1240b4910
1326a6066
141890c20
151108e6c
hexb9db1c

12180252 has 48 divisors (see below), whose sum is σ = 33367040. Its totient is φ = 3385152.

The previous prime is 12180251. The next prime is 12180283. The reversal of 12180252 is 25208121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12180251) 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, 1149 + ... + 5067.

Almost surely, 212180252 is an apocalyptic number.

12180252 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 12180252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16683520).

12180252 is an abundant number, since it is smaller than the sum of its proper divisors (21186788).

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

12180252 is a wasteful number, since it uses less digits than its factorization.

12180252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3970 (or 3968 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 12180252 is about 3490.0217764364. The cubic root of 12180252 is about 230.0834731673.

Adding to 12180252 its reverse (25208121), we get a palindrome (37388373).

The spelling of 12180252 in words is "twelve million, one hundred eighty thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 74 84 111 148 222 259 444 518 777 1036 1554 3108 3919 7838 11757 15676 23514 27433 47028 54866 82299 109732 145003 164598 290006 329196 435009 580012 870018 1015021 1740036 2030042 3045063 4060084 6090126 12180252