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121244444034 = 23747973311913
BaseRepresentation
bin111000011101010111…
…0110110010110000010
3102120221201210220210020
41300322232312112002
53441302034202114
6131410545114310
711521356525060
oct1607256662602
9376851726706
10121244444034
114746836736a
121b5b8628996
13b582c7009c
145c22725030
15324936eaa9
hex1c3abb6582

121244444034 has 128 divisors (see below), whose sum is σ = 286958149632. Its totient is φ = 33435832320.

The previous prime is 121244444029. The next prime is 121244444053. The reversal of 121244444034 is 430444442121.

It is a super-2 number, since 2×1212444440342 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 121244443986 and 121244444004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63378262 + ... + 63380174.

It is an arithmetic number, because the mean of its divisors is an integer number (2241860544).

Almost surely, 2121244444034 is an apocalyptic number.

121244444034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121244444034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143479074816).

121244444034 is an abundant number, since it is smaller than the sum of its proper divisors (165713705598).

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

121244444034 is a wasteful number, since it uses less digits than its factorization.

121244444034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2400.

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 121244444034 its reverse (430444442121), we get a palindrome (551688886155).

The spelling of 121244444034 in words is "one hundred twenty-one billion, two hundred forty-four million, four hundred forty-four thousand, thirty-four".

Divisors: 1 2 3 6 7 14 21 42 47 94 97 141 194 282 291 329 331 582 658 662 679 987 993 1358 1913 1974 1986 2037 2317 3826 4074 4559 4634 5739 6951 9118 11478 13391 13677 13902 15557 26782 27354 31114 31913 32107 40173 46671 63826 64214 80346 89911 93342 95739 96321 108899 179822 185561 191478 192642 217798 224749 269733 326697 371122 449498 539466 556683 629377 633203 653394 674247 1113366 1258754 1266406 1298927 1348494 1509029 1888131 1899609 2597854 3018058 3776262 3799218 3896781 4432421 4527087 7793562 8721367 8864842 9054174 10563203 13297263 17442734 21126406 26164101 26594526 29760541 31689609 52328202 59521082 61049569 61420691 63379218 89281623 122099138 122841382 178563246 183148707 184262073 208323787 366297414 368524146 416647574 429944837 624971361 859889674 1249942722 1289834511 2579669022 2886772477 5773544954 8660317431 17320634862 20207407339 40414814678 60622222017 121244444034