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123320021220220 = 225112333298772931
BaseRepresentation
bin11100000010100010101110…
…000011101111101101111100
3121011122021112022102201001111
4130002202232003233231330
5112130433400413021340
61114140234033451404
734655402042011216
oct3402425603575574
9534567468381044
10123320021220220
113632580003a280
12119b82b5710b64
1353a7049982a36
142264a141155b6
15e3cc840b6aea
hex7028ae0efb7c

123320021220220 has 96 divisors (see below), whose sum is σ = 283739959915776. Its totient is φ = 44649216268800.

The previous prime is 123320021220199. The next prime is 123320021220271. The reversal of 123320021220220 is 22022120023321.

It is a super-2 number, since 2×1233200212202202 (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 = 123320021220191 and 123320021220200.

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, 1690877155 + ... + 1690950085.

It is an arithmetic number, because the mean of its divisors is an integer number (2955624582456).

Almost surely, 2123320021220220 is an apocalyptic number.

123320021220220 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 123320021220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141869979957888).

123320021220220 is an abundant number, since it is smaller than the sum of its proper divisors (160419938695556).

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

123320021220220 is a wasteful number, since it uses less digits than its factorization.

123320021220220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106171 (or 106169 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 123320021220220 its reverse (22022120023321), we get a palindrome (145342141243541).

The spelling of 123320021220220 in words is "one hundred twenty-three trillion, three hundred twenty billion, twenty-one million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 233 466 932 1165 2330 2563 4660 5126 10252 12815 25630 32987 51260 65974 72931 131948 145862 164935 291724 329870 362857 364655 659740 725714 729310 802241 1451428 1458620 1604482 1814285 3208964 3628570 4011205 7257140 7685971 8022410 15371942 16044820 16992923 30743884 33985846 38429855 67971692 76859710 84545681 84964615 153719420 169091362 169929230 186922153 338182724 339858460 373844306 422728405 747688612 845456810 934610765 1690913620 1869221530 2405774897 3738443060 4811549794 9623099588 12028874485 24057748970 26463523867 48115497940 52927047734 105854095468 132317619335 264635238670 529270477340 560545551001 1121091102002 2242182204004 2802727755005 5605455510010 6166001061011 11210911020020 12332002122022 24664004244044 30830005305055 61660010610110 123320021220220