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122222320020 = 22325679012889
BaseRepresentation
bin111000111010100000…
…1001001100110010100
3102200110212212011110100
41301311001021212110
54000302403220040
6132052000254100
711554532402343
oct1616501114624
9380425764410
10122222320020
114791a34a039
121b830011330
13b6aa732128
145cb6553b5a
1532a5130b30
hex1c75049994

122222320020 has 36 divisors (see below), whose sum is σ = 370741037940. Its totient is φ = 32592618624.

The previous prime is 122222320013. The next prime is 122222320043. The reversal of 122222320020 is 20023222221.

122222320020 is a `hidden beast` number, since 1 + 222 + 223 + 200 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 82591862544 + 39630457476 = 287388^2 + 199074^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1222223200202 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 122222319975 and 122222320002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 339506265 + ... + 339506624.

It is an arithmetic number, because the mean of its divisors is an integer number (10298362165).

Almost surely, 2122222320020 is an apocalyptic number.

122222320020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122222320020 is an abundant number, since it is smaller than the sum of its proper divisors (248518717920).

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

122222320020 is a wasteful number, since it uses less digits than its factorization.

122222320020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679012904 (or 679012899 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 122222320020 its reverse (20023222221), we get a palindrome (142245542241).

The spelling of 122222320020 in words is "one hundred twenty-two billion, two hundred twenty-two million, three hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 679012889 1358025778 2037038667 2716051556 3395064445 4074077334 6111116001 6790128890 8148154668 10185193335 12222232002 13580257780 20370386670 24444464004 30555580005 40740773340 61111160010 122222320020