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12312252 = 2232714817
BaseRepresentation
bin101110111101…
…111010111100
3212011112020100
4232331322330
511122443002
61115521100
7206436531
oct56757274
925145210
1012312252
116a4a417
124159190
132721174
1418c6d88
15113311c
hexbbdebc

12312252 has 36 divisors (see below), whose sum is σ = 31567536. Its totient is φ = 4045440.

The previous prime is 12312241. The next prime is 12312263. The reversal of 12312252 is 25221321.

It is an interprime number because it is at equal distance from previous prime (12312241) and next prime (12312263).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 148 + ... + 4964.

It is an arithmetic number, because the mean of its divisors is an integer number (876876).

Almost surely, 212312252 is an apocalyptic number.

12312252 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 12312252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15783768).

12312252 is an abundant number, since it is smaller than the sum of its proper divisors (19255284).

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

12312252 is a wasteful number, since it uses less digits than its factorization.

12312252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4898 (or 4893 counting only the distinct ones).

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

The square root of 12312252 is about 3508.8818731898. The cubic root of 12312252 is about 230.9116432757.

Adding to 12312252 its reverse (25221321), we get a palindrome (37533573).

The spelling of 12312252 in words is "twelve million, three hundred twelve thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 213 284 426 639 852 1278 2556 4817 9634 14451 19268 28902 43353 57804 86706 173412 342007 684014 1026021 1368028 2052042 3078063 4104084 6156126 12312252