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123442212 = 22329379587
BaseRepresentation
bin1110101101110…
…01010000100100
322121021111212210
413112321100210
5223100122322
620125443420
73026145555
oct726712044
9277244783
10123442212
1163752a63
1235410570
131c76093a
141257432c
15ac8570c
hex75b9424

123442212 has 48 divisors (see below), whose sum is σ = 306048960. Its totient is φ = 38650752.

The previous prime is 123442211. The next prime is 123442213. The reversal of 123442212 is 212244321.

It is an interprime number because it is at equal distance from previous prime (123442211) and next prime (123442213).

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 (123442211) 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, 8083 + ... + 17669.

It is an arithmetic number, because the mean of its divisors is an integer number (6376020).

Almost surely, 2123442212 is an apocalyptic number.

123442212 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 123442212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153024480).

123442212 is an abundant number, since it is smaller than the sum of its proper divisors (182606748).

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

123442212 is a wasteful number, since it uses less digits than its factorization.

123442212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9660 (or 9658 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 123442212 is about 11110.4550761884. The cubic root of 123442212 is about 497.9142608156.

Adding to 123442212 its reverse (212244321), we get a palindrome (335686533).

The spelling of 123442212 in words is "one hundred twenty-three million, four hundred forty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 29 37 58 74 87 111 116 148 174 222 348 444 1073 2146 3219 4292 6438 9587 12876 19174 28761 38348 57522 115044 278023 354719 556046 709438 834069 1064157 1112092 1418876 1668138 2128314 3336276 4256628 10286851 20573702 30860553 41147404 61721106 123442212