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121935801064 = 237211231229489
BaseRepresentation
bin111000110001111110…
…0001010101011101000
3102122201220201111100011
41301203330022223220
53444211031113224
6132003323221304
711544453131200
oct1614374125350
9378656644304
10121935801064
1147792643110
121b770077834
13b66327449c
145c8a48d400
153289dd6394
hex1c63f0aae8

121935801064 has 96 divisors (see below), whose sum is σ = 302749617600. Its totient is φ = 45441876480.

The previous prime is 121935801049. The next prime is 121935801083. The reversal of 121935801064 is 460108539121.

It is a super-2 number, since 2×1219358010642 (a number of 23 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 515569 + ... + 713920.

It is an arithmetic number, because the mean of its divisors is an integer number (3153641850).

Almost surely, 2121935801064 is an apocalyptic number.

121935801064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

121935801064 is an abundant number, since it is smaller than the sum of its proper divisors (180813816536).

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

121935801064 is a wasteful number, since it uses less digits than its factorization.

121935801064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229543 (or 1229532 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The spelling of 121935801064 in words is "one hundred twenty-one billion, nine hundred thirty-five million, eight hundred one thousand, sixty-four".

Divisors: 1 2 4 7 8 11 14 22 23 28 44 46 49 56 77 88 92 98 154 161 184 196 253 308 322 392 506 539 616 644 1012 1078 1127 1288 1771 2024 2156 2254 3542 4312 4508 7084 9016 12397 14168 24794 49588 99176 1229489 2458978 4917956 8606423 9835912 13524379 17212846 27048758 28278247 34425692 54097516 56556494 60244961 68851384 94670653 108195032 113112988 120489922 189341306 197947729 226225976 240979844 311060717 378682612 395895458 481959688 622121434 662694571 757365224 791790916 1244242868 1325389142 1385634103 1583581832 2177425019 2488485736 2650778284 2771268206 4354850038 5301556568 5542536412 8709700076 11085072824 15241975133 17419400152 30483950266 60967900532 121935801064