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12042112112420 = 2251393481495457
BaseRepresentation
bin1010111100111100010111…
…0100001001011100100100
31120122012210111110001211212
42233033011310021130210
53034244221200044140
641340023034450552
72352004523035325
oct257170564113444
946565714401755
1012042112112420
1139230383941a5
121425a12b93a58
136947492111c0
142d8bac8aa44c
1515d39a063765
hexaf3c5d09724

12042112112420 has 48 divisors (see below), whose sum is σ = 27234045996528. Its totient is φ = 4446261780480.

The previous prime is 12042112112419. The next prime is 12042112112467. The reversal of 12042112112420 is 2421121124021.

12042112112420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 169511711524 + 11872600400896 = 411718^2 + 3445664^2 .

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, 24057332 + ... + 24552788.

It is an arithmetic number, because the mean of its divisors is an integer number (567375958261).

Almost surely, 212042112112420 is an apocalyptic number.

12042112112420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12042112112420 is an abundant number, since it is smaller than the sum of its proper divisors (15191933884108).

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

12042112112420 is a wasteful number, since it uses less digits than its factorization.

12042112112420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588960 (or 588958 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

Adding to 12042112112420 its reverse (2421121124021), we get a palindrome (14463233236441).

The spelling of 12042112112420 in words is "twelve trillion, forty-two billion, one hundred twelve million, one hundred twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 93481 186962 373924 467405 495457 934810 990914 1215253 1869620 1981828 2430506 2477285 4861012 4954570 6076265 6440941 9909140 12152530 12881882 24305060 25763764 32204705 64409410 128818820 46315815817 92631631634 185263263268 231579079085 463158158170 602105605621 926316316340 1204211211242 2408422422484 3010528028105 6021056056210 12042112112420