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122002222303220 = 225728112492482967
BaseRepresentation
bin11011101111010111011011…
…000111110100011111110100
3120222222022001122021120211012
4123233113123013310133310
5111442341022402200340
61111251014105331352
734461240542022320
oct3357273307643764
9528868048246735
10122002222303220
1135967940998326
1211824a21496b58
13530c9b620125c
14221ad20b24980
15e188577a8565
hex6ef5db1f47f4

122002222303220 has 96 divisors (see below), whose sum is σ = 294082729920000. Its totient is φ = 41647086673920.

The previous prime is 122002222303211. The next prime is 122002222303223. The reversal of 122002222303220 is 22303222200221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122002222303223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47894177 + ... + 50377143.

It is an arithmetic number, because the mean of its divisors is an integer number (3063361770000).

Almost surely, 2122002222303220 is an apocalyptic number.

122002222303220 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 122002222303220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147041364960000).

122002222303220 is an abundant number, since it is smaller than the sum of its proper divisors (172080507616780).

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

122002222303220 is a wasteful number, since it uses less digits than its factorization.

122002222303220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2484513 (or 2484511 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 122002222303220 its reverse (22303222200221), we get a palindrome (144305444503441).

The spelling of 122002222303220 in words is "one hundred twenty-two trillion, two billion, two hundred twenty-two million, three hundred three thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 281 562 1124 1249 1405 1967 2498 2810 3934 4996 5620 6245 7868 8743 9835 12490 17486 19670 24980 34972 39340 43715 87430 174860 350969 701938 1403876 1754845 2456783 2482967 3509690 4913566 4965934 7019380 9827132 9931868 12283915 12414835 17380769 24567830 24829670 34761538 49135660 49659340 69523076 86903845 173807690 347615380 697713727 1395427454 2790854908 3101225783 3488568635 4883996089 6202451566 6977137270 9767992178 12404903132 13954274540 15506128915 19535984356 21708580481 24419980445 31012257830 43417160962 48839960890 62024515660 86834321924 97679921780 108542902405 217085804810 434171609620 871444445023 1742888890046 3485777780092 4357222225115 6100111115161 8714444450230 12200222230322 17428888900460 24400444460644 30500555575805 61001111151610 122002222303220