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124221132 = 22327618081
BaseRepresentation
bin1110110011101…
…11011011001100
322122202002100200
413121313123030
5223300034012
620154253500
73035601510
oct731673314
9278662320
10124221132
11641351a2
1235727290
131c974339
14126d8140
15ad8b3dc
hex76776cc

124221132 has 72 divisors (see below), whose sum is σ = 364789152. Its totient is φ = 34905600.

The previous prime is 124221131. The next prime is 124221179. The reversal of 124221132 is 231122421.

It is a happy number.

It is a super-2 number, since 2×1242211322 = 30861779270722848, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (124221131) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 11332 + ... + 19412.

It is an arithmetic number, because the mean of its divisors is an integer number (5066516).

Almost surely, 2124221132 is an apocalyptic number.

124221132 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 124221132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182394576).

124221132 is an abundant number, since it is smaller than the sum of its proper divisors (240568020).

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

124221132 is a wasteful number, since it uses less digits than its factorization.

124221132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8159 (or 8154 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 124221132 is about 11145.4534228088. The cubic root of 124221132 is about 498.9593449100.

Adding to 124221132 its reverse (231122421), we get a palindrome (355343553).

The spelling of 124221132 in words is "one hundred twenty-four million, two hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 61 63 84 122 126 183 244 252 366 427 549 732 854 1098 1281 1708 2196 2562 3843 5124 7686 8081 15372 16162 24243 32324 48486 56567 72729 96972 113134 145458 169701 226268 290916 339402 492941 509103 678804 985882 1018206 1478823 1971764 2036412 2957646 3450587 4436469 5915292 6901174 8872938 10351761 13802348 17745876 20703522 31055283 41407044 62110566 124221132