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12121272 = 2333173301
BaseRepresentation
bin101110001111…
…010010111000
3211210211021000
4232033102320
511100340042
61111445000
7205012662
oct56172270
924724230
1012121272
116929989
124086760
132685267
141877532
1510e674c
hexb8f4b8

12121272 has 64 divisors (see below), whose sum is σ = 35661600. Its totient is φ = 3801600.

The previous prime is 12121267. The next prime is 12121273. The reversal of 12121272 is 27212121.

It is a happy number.

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

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12121273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2022 + ... + 5322.

Almost surely, 212121272 is an apocalyptic number.

12121272 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 12121272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17830800).

12121272 is an abundant number, since it is smaller than the sum of its proper divisors (23540328).

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

12121272 is a wasteful number, since it uses less digits than its factorization.

12121272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3333 (or 3323 counting only the distinct ones).

The product of its digits is 112, while the sum is 18.

The square root of 12121272 is about 3481.5617185395. The cubic root of 12121272 is about 229.7114971179.

Adding to 12121272 its reverse (27212121), we get a palindrome (39333393).

The spelling of 12121272 in words is "twelve million, one hundred twenty-one thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 408 459 612 918 1224 1836 3301 3672 6602 9903 13204 19806 26408 29709 39612 56117 59418 79224 89127 112234 118836 168351 178254 224468 237672 336702 356508 448936 505053 673404 713016 1010106 1346808 1515159 2020212 3030318 4040424 6060636 12121272