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141122130112124 = 22733722511234991
BaseRepresentation
bin100000000101100110001110…
…011011110110111001111100
3200111200010212220000111002022
4200011212032123312321330
5121444121110302041444
61220050340033415312
741503510640621000
oct4005461633667174
9614603786014068
10141122130112124
1140a69617446aa7
12139b24b7a0a538
1360989b5295475
1426bc4c1924700
15114ad9cc1c9ee
hex80598e6f6e7c

141122130112124 has 96 divisors (see below), whose sum is σ = 295919891097600. Its totient is φ = 58820103720000.

The previous prime is 141122130112069. The next prime is 141122130112331. The reversal of 141122130112124 is 421211031221141.

It is a junction number, because it is equal to n+sod(n) for n = 141122130112093 and 141122130112102.

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, 113652269 + ... + 114887259.

It is an arithmetic number, because the mean of its divisors is an integer number (3082498865600).

Almost surely, 2141122130112124 is an apocalyptic number.

141122130112124 is a gapful number since it is divisible by the number (14) 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 141122130112124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147959945548800).

141122130112124 is an abundant number, since it is smaller than the sum of its proper divisors (154797760985476).

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

141122130112124 is a wasteful number, since it uses less digits than its factorization.

141122130112124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237304 (or 1237288 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 26.

Adding to 141122130112124 its reverse (421211031221141), we get a palindrome (562333161333265).

The spelling of 141122130112124 in words is "one hundred forty-one trillion, one hundred twenty-two billion, one hundred thirty million, one hundred twelve thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 28 37 49 74 98 148 196 259 343 518 686 1036 1372 1813 2251 3626 4502 7252 9004 12691 15757 25382 31514 50764 63028 83287 110299 166574 220598 333148 441196 583009 772093 1166018 1234991 1544186 2332036 2469982 3088372 4081063 4939964 8162126 8644937 16324252 17289874 28567441 34579748 45694667 57134882 60514559 91389334 114269764 121029118 182778668 242058236 319862669 423601913 639725338 847203826 1279450676 1694407652 2239038683 2779964741 4478077366 5559929482 8956154732 11119858964 15673270781 19459753187 31346541562 38919506374 62693083124 77839012748 102858695417 136218272309 205717390834 272436544618 411434781668 544873089236 720010867919 953527906163 1440021735838 1907055812326 2880043471676 3814111624652 5040076075433 10080152150866 20160304301732 35280532528031 70561065056062 141122130112124