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121020022012120 = 235711251156542689
BaseRepresentation
bin11011100001000100101011…
…011011000011100011011000
3120212111101211102011001121221
4123201010223123003203120
5111330243001113341440
61105215455224341424
734330256651216320
oct3341045333034330
9525441742131557
10121020022012120
1135619337493160
12116a65a8614874
13526b1a680935a
1421c558668c280
15ded01da34d4a
hex6e112b6c38d8

121020022012120 has 128 divisors (see below), whose sum is σ = 340837268083200. Its totient is φ = 37570245120000.

The previous prime is 121020022012103. The next prime is 121020022012139. The reversal of 121020022012120 is 21210220020121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 121020022012094 and 121020022012103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77498265 + ... + 79044424.

It is an arithmetic number, because the mean of its divisors is an integer number (2662791156900).

Almost surely, 2121020022012120 is an apocalyptic number.

121020022012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121020022012120 is an abundant number, since it is smaller than the sum of its proper divisors (219817246071080).

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

121020022012120 is a wasteful number, since it uses less digits than its factorization.

121020022012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156542969 (or 156542965 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 121020022012120 its reverse (21210220020121), we get a palindrome (142230242032241).

The spelling of 121020022012120 in words is "one hundred twenty-one trillion, twenty billion, twenty-two million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 251 280 308 385 440 502 616 770 1004 1255 1540 1757 2008 2510 2761 3080 3514 5020 5522 7028 8785 10040 11044 13805 14056 17570 19327 22088 27610 35140 38654 55220 70280 77308 96635 110440 154616 193270 386540 773080 156542689 313085378 626170756 782713445 1095798823 1252341512 1565426890 1721969579 2191597646 3130853780 3443939158 4383195292 5478994115 6261707560 6887878316 8609847895 8766390584 10957988230 12053787053 13775756632 17219695790 21915976460 24107574106 34439391580 39292214939 43831952920 48215148212 60268935265 68878783160 78584429878 96430296424 120537870530 157168859756 196461074695 241075741060 275045504573 314337719512 392922149390 432214364329 482151482120 550091009146 785844298780 864428728658 1100182018292 1375227522865 1571688597560 1728857457316 2161071821645 2200364036584 2750455045730 3025500550303 3457714914632 4322143643290 5500910091460 6051001100606 8644287286580 11001820182920 12102002201212 15127502751515 17288574573160 24204004402424 30255005503030 60510011006060 121020022012120