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122221201120 = 255763882507
BaseRepresentation
bin111000111010011110…
…0111000011011100000
3102200110210202022121121
41301310330320123200
54000302111413440
6132051520302024
711554520032264
oct1616474703340
9380423668547
10122221201120
1147919755427
121b82b771914
13b6aa42ca65
145cb63420a4
1532a4eae34a
hex1c74f386e0

122221201120 has 24 divisors (see below), whose sum is σ = 288747588024. Its totient is φ = 48888480384.

The previous prime is 122221201093. The next prime is 122221201127. The reversal of 122221201120 is 21102122221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 122221201094 and 122221201103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122221201127) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 381941094 + ... + 381941413.

It is an arithmetic number, because the mean of its divisors is an integer number (12031149501).

Almost surely, 2122221201120 is an apocalyptic number.

122221201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122221201120 is an abundant number, since it is smaller than the sum of its proper divisors (166526386904).

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

122221201120 is an equidigital number, since it uses as much as digits as its factorization.

122221201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763882522 (or 763882514 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 122221201120 its reverse (21102122221), we get a palindrome (143323323341).

The spelling of 122221201120 in words is "one hundred twenty-two billion, two hundred twenty-one million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 763882507 1527765014 3055530028 3819412535 6111060056 7638825070 12222120112 15277650140 24444240224 30555300280 61110600560 122221201120