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12132220122 = 23311229431489
BaseRepresentation
bin10110100110010001…
…01111110011011010
31011022111220122021000
423103020233303122
5144321322020442
65323511325430
7606435112101
oct132310576332
934274818230
1012132220122
11516635a600
122427080876
1311b4679999
148313d9038
154b018bd4c
hex2d322fcda

12132220122 has 192 divisors, whose sum is σ = 31390128000. Its totient is φ = 3464778240.

The previous prime is 12132220103. The next prime is 12132220147. The reversal of 12132220122 is 22102223121.

12132220122 is a `hidden beast` number, since 121 + 322 + 201 + 22 = 666.

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 = 12132220095 and 12132220104.

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 95 ways as a sum of consecutive naturals, for example, 8147154 + ... + 8148642.

It is an arithmetic number, because the mean of its divisors is an integer number (163490250).

Almost surely, 212132220122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12132220122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15695064000).

12132220122 is an abundant number, since it is smaller than the sum of its proper divisors (19257907878).

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

12132220122 is a wasteful number, since it uses less digits than its factorization.

12132220122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1594 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12132220122 its reverse (22102223121), we get a palindrome (34234443243).

The spelling of 12132220122 in words is "twelve billion, one hundred thirty-two million, two hundred twenty thousand, one hundred twenty-two".