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123314212420 = 22572314059059
BaseRepresentation
bin111001011011000011…
…0011000111001000100
3102210021222110001020121
41302312012120321010
54010021414244140
6132352203311324
711623561340200
oct1626606307104
9383258401217
10123314212420
114832a726a53
121ba9581b544
13b822a046c9
145d7b581b00
15331ae1464a
hex1cb6198e44

123314212420 has 72 divisors (see below), whose sum is σ = 310956468480. Its totient is φ = 40915304640.

The previous prime is 123314212379. The next prime is 123314212421. The reversal of 123314212420 is 24212413321.

123314212420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (123314212421) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1999150 + ... + 2059909.

It is an arithmetic number, because the mean of its divisors is an integer number (4318839840).

Almost surely, 2123314212420 is an apocalyptic number.

123314212420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123314212420 is an abundant number, since it is smaller than the sum of its proper divisors (187642256060).

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

123314212420 is a wasteful number, since it uses less digits than its factorization.

123314212420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4059113 (or 4059104 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 123314212420 its reverse (24212413321), we get a palindrome (147526625741).

The spelling of 123314212420 in words is "one hundred twenty-three billion, three hundred fourteen million, two hundred twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 49 62 70 98 124 140 155 196 217 245 310 434 490 620 868 980 1085 1519 2170 3038 4340 6076 7595 15190 30380 4059059 8118118 16236236 20295295 28413413 40590590 56826826 81181180 113653652 125830829 142067065 198893891 251661658 284134130 397787782 503323316 568268260 629154145 795575564 880815803 994469455 1258308290 1761631606 1988938910 2516616580 3523263212 3977877820 4404079015 6165710621 8808158030 12331421242 17616316060 24662842484 30828553105 61657106210 123314212420