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122213112 = 2337727459
BaseRepresentation
bin1110100100011…
…01001011111000
322111222001212120
413102031023320
5222241304422
620043241240
73012536310
oct722151370
9274861776
10122213112
1162a9357a
1234b19220
131c420368
1412334440
15aae145c
hex748d2f8

122213112 has 32 divisors (see below), whose sum is σ = 349180800. Its totient is φ = 34917984.

The previous prime is 122213083. The next prime is 122213123. The reversal of 122213112 is 211312221.

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

It is a junction number, because it is equal to n+sod(n) for n = 122213091 and 122213100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 363562 + ... + 363897.

It is an arithmetic number, because the mean of its divisors is an integer number (10911900).

Almost surely, 2122213112 is an apocalyptic number.

122213112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122213112 is an abundant number, since it is smaller than the sum of its proper divisors (226967688).

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

122213112 is a wasteful number, since it uses less digits than its factorization.

122213112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727475 (or 727471 counting only the distinct ones).

The product of its digits is 48, while the sum is 15.

The square root of 122213112 is about 11055.0039348704. The cubic root of 122213112 is about 496.2561870272.

Adding to 122213112 its reverse (211312221), we get a palindrome (333525333).

The spelling of 122213112 in words is "one hundred twenty-two million, two hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 727459 1454918 2182377 2909836 4364754 5092213 5819672 8729508 10184426 15276639 17459016 20368852 30553278 40737704 61106556 122213112