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122222221021120 = 26511247714017853
BaseRepresentation
bin11011110010100100010100…
…000100010100111111000000
3121000202022220201200101212011
4123302210110010110333000
5112004442102040133440
61111540040241342304
734513156401203323
oct3362442404247700
9530668821611764
10122222221021120
1135a42175492260
121185b59a637994
1353276768695cc
142227830c767ba
15e1e4317e39ea
hex6f2914114fc0

122222221021120 has 112 divisors (see below), whose sum is σ = 317628198786528. Its totient is φ = 44426497986560.

The previous prime is 122222221021111. The next prime is 122222221021139. The reversal of 122222221021120 is 21120122222221.

It is a super-2 number, since 2×1222222210211202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 122222221021091 and 122222221021100.

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, 1710114 + ... + 15727966.

It is an arithmetic number, because the mean of its divisors is an integer number (2835966060594).

Almost surely, 2122222221021120 is an apocalyptic number.

122222221021120 is a gapful number since it is divisible by the number (10) 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 122222221021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158814099393264).

122222221021120 is an abundant number, since it is smaller than the sum of its proper divisors (195405977765408).

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

122222221021120 is a wasteful number, since it uses less digits than its factorization.

122222221021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14020358 (or 14020348 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 122222221021120 its reverse (21120122222221), we get a palindrome (143342343243341).

The spelling of 122222221021120 in words is "one hundred twenty-two trillion, two hundred twenty-two billion, two hundred twenty-one million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 704 880 1760 2477 3520 4954 9908 12385 19816 24770 27247 39632 49540 54494 79264 99080 108988 136235 158528 198160 217976 272470 396320 435952 544940 792640 871904 1089880 1743808 2179760 4359520 8719040 14017853 28035706 56071412 70089265 112142824 140178530 154196383 224285648 280357060 308392766 448571296 560714120 616785532 770981915 897142592 1121428240 1233571064 1541963830 2242856480 2467142128 3083927660 4485712960 4934284256 6167855320 9868568512 12335710640 24671421280 34722221881 49342842560 69444443762 138888887524 173611109405 277777775048 347222218810 381944440691 555555550096 694444437620 763888881382 1111111100192 1388888875240 1527777762764 1909722203455 2222222200384 2777777750480 3055555525528 3819444406910 5555555500960 6111111051056 7638888813820 11111111001920 12222222102112 15277777627640 24444444204224 30555555255280 61111110510560 122222221021120