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123112232020 = 225232974312421
BaseRepresentation
bin111001010101000001…
…1111001010001010100
3102202202220101101020001
41302222003321101110
54004113212411040
6132320150221044
711615556464101
oct1625203712124
9382686341201
10123112232020
11482367110a8
121ba3a054784
13b7bcc05b8b
145d5c805aa8
15330831859a
hex1caa0f9454

123112232020 has 96 divisors (see below), whose sum is σ = 279477112320. Its totient is φ = 45414673920.

The previous prime is 123112232003. The next prime is 123112232041. The reversal of 123112232020 is 20232211321.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9905410 + ... + 9917830.

It is an arithmetic number, because the mean of its divisors is an integer number (2911219920).

Almost surely, 2123112232020 is an apocalyptic number.

123112232020 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 123112232020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139738556160).

123112232020 is an abundant number, since it is smaller than the sum of its proper divisors (156364880300).

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

123112232020 is a wasteful number, since it uses less digits than its factorization.

123112232020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13225 (or 13223 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 123112232020 its reverse (20232211321), we get a palindrome (143344443341).

The spelling of 123112232020 in words is "one hundred twenty-three billion, one hundred twelve million, two hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 23 29 46 58 92 115 116 145 230 290 460 580 667 743 1334 1486 2668 2972 3335 3715 6670 7430 12421 13340 14860 17089 21547 24842 34178 43094 49684 62105 68356 85445 86188 107735 124210 170890 215470 248420 285683 341780 360209 430940 495581 571366 720418 991162 1142732 1428415 1440836 1801045 1982324 2477905 2856830 3602090 4955810 5713660 7204180 8284807 9228803 9911620 16569614 18457606 33139228 36915212 41424035 46144015 82848070 92288030 165696140 184576060 212262469 267635287 424524938 535270574 849049876 1061312345 1070541148 1338176435 2122624690 2676352870 4245249380 5352705740 6155611601 12311223202 24622446404 30778058005 61556116010 123112232020