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12123401220 = 223657118787
BaseRepresentation
bin10110100101001110…
…00110110000000100
31011021220022121000000
423102213012300010
5144312042314340
65322554321300
7606300132030
oct132247066004
934256277000
1012123401220
115161386857
122424129230
1311b28ac8b8
148301811c0
154ae4e8d30
hex2d29c6c04

12123401220 has 168 divisors, whose sum is σ = 43624655424. Its totient is φ = 2771039808.

The previous prime is 12123401201. The next prime is 12123401249. The reversal of 12123401220 is 2210432121.

It is a happy number.

12123401220 is a `hidden beast` number, since 1 + 21 + 23 + 401 + 220 = 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 = 12123401193 and 12123401202.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 42667 + ... + 161453.

It is an arithmetic number, because the mean of its divisors is an integer number (259670568).

Almost surely, 212123401220 is an apocalyptic number.

12123401220 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 12123401220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21812327712).

12123401220 is an abundant number, since it is smaller than the sum of its proper divisors (31501254204).

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

12123401220 is a wasteful number, since it uses less digits than its factorization.

12123401220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118821 (or 118804 counting only the distinct ones).

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

Adding to 12123401220 its reverse (2210432121), we get a palindrome (14333833341).

The spelling of 12123401220 in words is "twelve billion, one hundred twenty-three million, four hundred one thousand, two hundred twenty".