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121221212041242 = 23323683886116127
BaseRepresentation
bin11011100100000000000011…
…010010000111000000011010
3120220012122010200200111012000
4123210000003102013000122
5111342042020240304432
61105452131145101430
734350641432233065
oct3344000322070032
9526178120614160
10121221212041242
1135696699a6a8a5
1211719596787876
13528415a53b471
1421d11d08258dc
15e033966c557c
hex6e400348701a

121221212041242 has 128 divisors (see below), whose sum is σ = 281553447813120. Its totient is φ = 38586904297920.

The previous prime is 121221212041213. The next prime is 121221212041277. The reversal of 121221212041242 is 242140212122121.

121221212041242 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 212 + 1 + 204 + 1 + 242 = 666.

It is a super-3 number, since 3×1212212120412423 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7516654183 + ... + 7516670309.

It is an arithmetic number, because the mean of its divisors is an integer number (2199636311040).

Almost surely, 2121221212041242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121221212041242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140776723906560).

121221212041242 is an abundant number, since it is smaller than the sum of its proper divisors (160332235771878).

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

121221212041242 is a wasteful number, since it uses less digits than its factorization.

121221212041242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25705 (or 25699 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 121221212041242 its reverse (242140212122121), we get a palindrome (363361424163363).

The spelling of 121221212041242 in words is "one hundred twenty-one trillion, two hundred twenty-one billion, two hundred twelve million, forty-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 138 207 414 621 683 1242 1366 2049 4098 6147 8861 12294 15709 16127 17722 18441 26583 31418 32254 36882 47127 48381 53166 79749 94254 96762 141381 145143 159498 203803 239247 282762 290286 370921 407606 424143 435429 478494 611409 741842 848286 870858 1112763 1222818 1834227 2225526 3338289 3668454 5502681 6052063 6676578 10014867 11005362 11014741 12104126 18156189 20029734 22029482 33044223 36312378 54468567 66088446 99132669 108937134 139197449 142901347 163405701 198265338 253339043 278394898 285802694 297398007 326811402 417592347 428704041 506678086 594796014 760017129 835184694 857408082 1252777041 1286112123 1520034258 2280051387 2505554082 2572224246 3286730981 3758331123 3858336369 4560102774 6573461962 6840154161 7516662246 7716672738 9860192943 13680308322 19720385886 29580578829 59161157658 88741736487 97601620001 177483472974 195203240002 292804860003 585609720006 878414580009 1756829160018 2244837260023 2635243740027 4489674520046 5270487480054 6734511780069 13469023560138 20203535340207 40407070680414 60610606020621 121221212041242