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121221414421250 = 2541121361651069
BaseRepresentation
bin11011100100000000001111…
…010110001000001100000010
3120220012122122210111110100212
4123210000033112020030002
5111342042424042440000
61105452203214514122
734350646440362213
oct3344001726101402
9526178583443325
10121221414421250
1135696793228a00
1211719632505942
135284190449b50
1421d120d66740a
15e033a934ec35
hex6e400f588302

121221414421250 has 120 divisors (see below), whose sum is σ = 268963026952620. Its totient is φ = 40689704880000.

The previous prime is 121221414421249. The next prime is 121221414421277. The reversal of 121221414421250 is 52124414122121.

It can be written as a sum of positive squares in 10 ways, for example, as 14921169760849 + 106300244660401 = 3862793^2 + 10310201^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 28859285 + ... + 32791784.

Almost surely, 2121221414421250 is an apocalyptic number.

121221414421250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

121221414421250 is an abundant number, since it is smaller than the sum of its proper divisors (147741612531370).

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

121221414421250 is a wasteful number, since it uses less digits than its factorization.

121221414421250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61651126 (or 61651100 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 32.

Adding to 121221414421250 its reverse (52124414122121), we get a palindrome (173345828543371).

The spelling of 121221414421250 in words is "one hundred twenty-one trillion, two hundred twenty-one billion, four hundred fourteen million, four hundred twenty-one thousand, two hundred fifty".

Divisors: 1 2 5 10 11 13 22 25 26 50 55 65 110 121 125 130 143 242 250 275 286 325 550 605 625 650 715 1210 1250 1375 1430 1573 1625 2750 3025 3146 3250 3575 6050 6875 7150 7865 8125 13750 15125 15730 16250 17875 30250 35750 39325 75625 78650 89375 151250 178750 196625 393250 983125 1966250 61651069 123302138 308255345 616510690 678161759 801463897 1356323518 1541276725 1602927794 3082553450 3390808795 4007319485 6781617590 7459779349 7706383625 8014638970 8816102867 14919558698 15412767250 16954043975 17632205734 20036597425 33908087950 37298896745 38531918125 40073194850 44080514335 74597793490 77063836250 84770219875 88161028670 96977131537 100182987125 169540439750 186494483725 193954263074 200365974250 220402571675 372988967450 423851099375 440805143350 484885657685 500914935625 847702198750 932472418625 969771315370 1001829871250 1102012858375 1864944837250 2204025716750 2424428288425 4662362093125 4848856576850 5510064291875 9324724186250 11020128583750 12122141442125 24244282884250 60610707210625 121221414421250