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121112442 = 23311414973
BaseRepresentation
bin1110011100000…
…00011101111010
322102220011001000
413032000131322
5222001044232
620003505430
73000303333
oct716003572
9272804030
10121112442
1162401630
1234688276
131c126389
141212928a
15a97527c
hex738077a

121112442 has 64 divisors (see below), whose sum is σ = 300827520. Its totient is φ = 35798400.

The previous prime is 121112399. The next prime is 121112449. The reversal of 121112442 is 244211121.

121112442 is a `hidden beast` number, since 1 + 211 + 12 + 442 = 666.

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 (121112449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21868 + ... + 26840.

It is an arithmetic number, because the mean of its divisors is an integer number (4700430).

Almost surely, 2121112442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121112442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150413760).

121112442 is an abundant number, since it is smaller than the sum of its proper divisors (179715078).

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

121112442 is a wasteful number, since it uses less digits than its factorization.

121112442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5036 (or 5030 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 121112442 is about 11005.1098131732. The cubic root of 121112442 is about 494.7619056974.

Adding to 121112442 its reverse (244211121), we get a palindrome (365323563).

The spelling of 121112442 in words is "one hundred twenty-one million, one hundred twelve thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 41 54 66 82 99 123 198 246 297 369 451 594 738 902 1107 1353 2214 2706 4059 4973 8118 9946 12177 14919 24354 29838 44757 54703 89514 109406 134271 164109 203893 268542 328218 407786 492327 611679 984654 1223358 1476981 1835037 2242823 2953962 3670074 4485646 5505111 6728469 11010222 13456938 20185407 40370814 60556221 121112442