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122221212132 = 223671371109609
BaseRepresentation
bin111000111010011110…
…0111011000111100100
3102200110210202212201110
41301310330323013210
54000302112242012
6132051520425020
711554520106345
oct1616474730744
9380423685643
10122221212132
1147919762728
121b82b778170
13b6aa434a86
145cb63460cc
1532a4eb273c
hex1c74f3b1e4

122221212132 has 48 divisors (see below), whose sum is σ = 291552246720. Its totient is φ = 39839365632.

The previous prime is 122221212131. The next prime is 122221212187. The reversal of 122221212132 is 231212122221.

122221212132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 122221212099 and 122221212108.

It is not an unprimeable number, because it can be changed into a prime (122221212131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 444657 + ... + 664952.

It is an arithmetic number, because the mean of its divisors is an integer number (6074005140).

Almost surely, 2122221212132 is an apocalyptic number.

122221212132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122221212132 is an abundant number, since it is smaller than the sum of its proper divisors (169331034588).

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

122221212132 is a wasteful number, since it uses less digits than its factorization.

122221212132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109820 (or 1109818 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

Adding to 122221212132 its reverse (231212122221), we get a palindrome (353433334353).

The spelling of 122221212132 in words is "one hundred twenty-two billion, two hundred twenty-one million, two hundred twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 67 134 137 201 268 274 402 411 548 804 822 1644 9179 18358 27537 36716 55074 110148 1109609 2219218 3328827 4438436 6657654 13315308 74343803 148687606 152016433 223031409 297375212 304032866 446062818 456049299 608065732 892125636 912098598 1824197196 10185101011 20370202022 30555303033 40740404044 61110606066 122221212132