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122014116 = 2232722632
BaseRepresentation
bin1110100010111…
…00100110100100
322111120221220100
413101130212210
5222213422431
620035104100
73011050200
oct721344644
9274527810
10122014116
1162968014
1234a42030
131c380903
14122c1b00
15aaa24e6
hex745c9a4

122014116 has 81 divisors (see below), whose sum is σ = 360148971. Its totient is φ = 34728624.

The previous prime is 122014111. The next prime is 122014121. The reversal of 122014116 is 611410221.

The square root of 122014116 is 11046.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (122014111) and next prime (122014121).

It is a super-2 number, since 2×1220141162 = 29774889006522912, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (122014111) 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 26 ways as a sum of consecutive naturals, for example, 463801 + ... + 464063.

Almost surely, 2122014116 is an apocalyptic number.

122014116 is the 11046-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122014116

122014116 is an abundant number, since it is smaller than the sum of its proper divisors (238134855).

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

122014116 is a wasteful number, since it uses less digits than its factorization.

122014116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The cubic root of 122014116 is about 495.9866942754.

Adding to 122014116 its reverse (611410221), we get a palindrome (733424337).

The spelling of 122014116 in words is "one hundred twenty-two million, fourteen thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 263 294 441 526 588 789 882 1052 1578 1764 1841 2367 3156 3682 4734 5523 7364 9468 11046 12887 16569 22092 25774 33138 38661 51548 66276 69169 77322 115983 138338 154644 207507 231966 276676 415014 463932 484183 622521 830028 968366 1245042 1452549 1936732 2490084 2905098 3389281 4357647 5810196 6778562 8715294 10167843 13557124 17430588 20335686 30503529 40671372 61007058 122014116