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12122122120002 = 23541608357027
BaseRepresentation
bin1011000001100110011011…
…0010000110101101000010
31120220212022112101120200000
42300121212302012231002
53042102101230320002
641440454230540430
72360536325630466
oct260314662065502
946825275346600
1012122122120002
113953a65a06104
121439422207716
1369c15a43b15b
142dc9dcacc4a6
151604ce35c61c
hexb0666c86b42

12122122120002 has 48 divisors (see below), whose sum is σ = 27901686732192. Its totient is φ = 3942153528480.

The previous prime is 12122122119977. The next prime is 12122122120093. The reversal of 12122122120002 is 20002122122121.

It is a happy number.

12122122120002 is a `hidden beast` number, since 1 + 21 + 221 + 221 + 200 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 304158588 + ... + 304198439.

It is an arithmetic number, because the mean of its divisors is an integer number (581285140254).

Almost surely, 212122122120002 is an apocalyptic number.

12122122120002 is an abundant number, since it is smaller than the sum of its proper divisors (15779564612190).

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

12122122120002 is an equidigital number, since it uses as much as digits as its factorization.

12122122120002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608357085 (or 608357073 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12122122120002 its reverse (20002122122121), we get a palindrome (32124244242123).

The spelling of 12122122120002 in words is "twelve trillion, one hundred twenty-two billion, one hundred twenty-two million, one hundred twenty thousand, two".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 123 162 243 246 369 486 738 1107 2214 3321 6642 9963 19926 608357027 1216714054 1825071081 3650142162 5475213243 10950426486 16425639729 24942638107 32851279458 49276919187 49885276214 74827914321 98553838374 147830757561 149655828642 224483742963 295661515122 448967485926 673451228889 1346902457778 2020353686667 4040707373334 6061061060001 12122122120002