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121938879192 = 233133194713313
BaseRepresentation
bin111000110010000011…
…1111010001011011000
3102122202010111212201220
41301210013322023120
53444212323113232
6132003513212040
711544521241264
oct1614407721330
9378663455656
10121938879192
1147794355819
121b771101020
13b663ab1570
145c8aa510a4
15328a2e342c
hex1c641fa2d8

121938879192 has 128 divisors (see below), whose sum is σ = 339270543360. Its totient is φ = 36268277760.

The previous prime is 121938879187. The next prime is 121938879203. The reversal of 121938879192 is 291978839121.

It is a happy number.

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, 9152728 + ... + 9166040.

It is an arithmetic number, because the mean of its divisors is an integer number (2650551120).

Almost surely, 2121938879192 is an apocalyptic number.

121938879192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121938879192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169635271680).

121938879192 is an abundant number, since it is smaller than the sum of its proper divisors (217331664168).

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

121938879192 is a wasteful number, since it uses less digits than its factorization.

121938879192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14313 (or 14309 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 60.

The spelling of 121938879192 in words is "one hundred twenty-one billion, nine hundred thirty-eight million, eight hundred seventy-nine thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 93 104 124 156 186 248 312 372 403 744 806 947 1209 1612 1894 2418 2841 3224 3788 4836 5682 7576 9672 11364 12311 13313 22728 24622 26626 29357 36933 39939 49244 53252 58714 73866 79878 88071 98488 106504 117428 147732 159756 173069 176142 234856 295464 319512 346138 352284 381641 412703 519207 692276 704568 763282 825406 1038414 1144923 1238109 1384552 1526564 1650812 2076828 2289846 2476218 3053128 3301624 4153656 4579692 4952436 5365139 9159384 9904872 10730278 12607411 16095417 21460556 25214822 32190834 37822233 42921112 50429644 64381668 75644466 100859288 128763336 151288932 163896343 302577864 327792686 390829741 491689029 655585372 781659482 983378058 1172489223 1311170744 1563318964 1966756116 2344978446 3126637928 3933512232 4689956892 5080786633 9379913784 10161573266 15242359899 20323146532 30484719798 40646293064 60969439596 121938879192