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121005220311342 = 2353741164127841
BaseRepresentation
bin11011100000110110111001…
…001011000011000100101110
3120212102222121212010202100000
4123200312321023003010232
5111330022142344430332
61105205010352445130
734326224106641613
oct3340667113030456
9525388555122300
10121005220311342
11356130312a22a4
12116a37575497a6
1352699880a0423
1421c498092650a
15dec954340b7c
hex6e0db92c312e

121005220311342 has 96 divisors (see below), whose sum is σ = 286047255128544. Its totient is φ = 38287742515200.

The previous prime is 121005220311317. The next prime is 121005220311347. The reversal of 121005220311342 is 243113022500121.

It is a happy number.

121005220311342 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 0 + 5 + 2 + 2 + 0 + 311 + 342 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121005220311347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81326659 + ... + 82801182.

It is an arithmetic number, because the mean of its divisors is an integer number (2979658907589).

Almost surely, 2121005220311342 is an apocalyptic number.

121005220311342 is an abundant number, since it is smaller than the sum of its proper divisors (165042034817202).

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

121005220311342 is a wasteful number, since it uses less digits than its factorization.

121005220311342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164127936 (or 164127924 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 121005220311342 its reverse (243113022500121), we get a palindrome (364118242811463).

The spelling of 121005220311342 in words is "one hundred twenty-one trillion, five billion, two hundred twenty million, three hundred eleven thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 27 37 41 54 74 81 82 111 123 162 222 243 246 333 369 486 666 738 999 1107 1517 1998 2214 2997 3034 3321 4551 5994 6642 8991 9102 9963 13653 17982 19926 27306 40959 81918 122877 245754 368631 737262 164127841 328255682 492383523 984767046 1477150569 2954301138 4431451707 6072730117 6729241481 8862903414 12145460234 13294355121 13458482962 18218190351 20187724443 26588710242 36436380702 39883065363 40375448886 54654571053 60563173329 79766130726 109309142106 121126346658 163963713159 181689519987 248981934797 327927426318 363379039974 491891139477 497963869594 545068559961 746945804391 983782278954 1090137119922 1475673418431 1493891608782 1635205679883 2240837413173 2951346836862 3270411359766 4481674826346 6722512239519 13445024479038 20167536718557 40335073437114 60502610155671 121005220311342