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121201444 = 227132331467
BaseRepresentation
bin1110011100101…
…10001100100100
322110001200010101
413032112030210
5222011421234
620005433444
73001123660
oct716261444
9273050111
10121201444
1162462491
123470b884
131c157a40
141214d8a0
15a991814
hex7396324

121201444 has 96 divisors (see below), whose sum is σ = 281788416. Its totient is φ = 44288640.

The previous prime is 121201433. The next prime is 121201471. The reversal of 121201444 is 444102121.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 259299 + ... + 259765.

It is an arithmetic number, because the mean of its divisors is an integer number (2935296).

Almost surely, 2121201444 is an apocalyptic number.

121201444 is a gapful number since it is divisible by the number (14) 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 121201444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140894208).

121201444 is an abundant number, since it is smaller than the sum of its proper divisors (160586972).

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

121201444 is a wasteful number, since it uses less digits than its factorization.

121201444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 121201444 is about 11009.1527376088. The cubic root of 121201444 is about 494.8830713849.

Adding to 121201444 its reverse (444102121), we get a palindrome (565303565).

The spelling of 121201444 in words is "one hundred twenty-one million, two hundred one thousand, four hundred forty-four".

Divisors: 1 2 4 7 13 14 23 26 28 31 46 52 62 91 92 124 161 182 217 299 322 364 403 434 467 598 644 713 806 868 934 1196 1426 1612 1868 2093 2821 2852 3269 4186 4991 5642 6071 6538 8372 9269 9982 10741 11284 12142 13076 14477 18538 19964 21482 24284 28954 37076 42497 42964 57908 64883 75187 84994 101339 129766 139633 150374 169988 188201 202678 259532 279266 300748 332971 376402 405356 558532 665942 752804 977431 1317407 1331884 1954862 2330797 2634814 3909724 4328623 4661594 5269628 8657246 9323188 17314492 30300361 60600722 121201444