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122112111213024 = 25317139538299263
BaseRepresentation
bin11011110000111101110001…
…000000101111100111100000
3121000100210200222122121002120
4123300331301000233213200
5112001141100432304044
61111413310210144240
734502210644240542
oct3360756100574740
9530323628577076
10122112111213024
11359aa501361759
121184218ab82080
13531a1796a37ca
14222238726b692
15e1b639c5a519
hex6f0f7102f9e0

122112111213024 has 96 divisors (see below), whose sum is σ = 341841564610560. Its totient is φ = 38034072655872.

The previous prime is 122112111212983. The next prime is 122112111213047. The reversal of 122112111213024 is 420312111211221.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1221121112130242 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 122112111212985 and 122112111213003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 268922784 + ... + 269376479.

It is an arithmetic number, because the mean of its divisors is an integer number (3560849631360).

Almost surely, 2122112111213024 is an apocalyptic number.

It is an amenable number.

122112111213024 is an abundant number, since it is smaller than the sum of its proper divisors (219729453397536).

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

122112111213024 is a wasteful number, since it uses less digits than its factorization.

122112111213024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538299432 (or 538299424 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

Adding to 122112111213024 its reverse (420312111211221), we get a palindrome (542424222424245).

The spelling of 122112111213024 in words is "one hundred twenty-two trillion, one hundred twelve billion, one hundred eleven million, two hundred thirteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 139 204 272 278 408 417 544 556 816 834 1112 1632 1668 2224 2363 3336 4448 4726 6672 7089 9452 13344 14178 18904 28356 37808 56712 75616 113424 226848 538299263 1076598526 1614897789 2153197052 3229795578 4306394104 6459591156 8612788208 9151087471 12919182312 17225576416 18302174942 25838364624 27453262413 36604349884 51676729248 54906524826 73208699768 74823597557 109813049652 146417399536 149647195114 219626099304 224470792671 292834799072 299294390228 439252198608 448941585342 598588780456 878504397216 897883170684 1197177560912 1272001158469 1795766341368 2394355121824 2544002316938 3591532682736 3816003475407 5088004633876 7183065365472 7632006950814 10176009267752 15264013901628 20352018535504 30528027803256 40704037071008 61056055606512 122112111213024