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12132210220 = 225131931227349
BaseRepresentation
bin10110100110010001…
…01101011000101100
31011022111220010200021
423103020231120230
5144321321211340
65323511211524
7606435041164
oct132310553054
934274803607
1012132210220
115166353119
122427076ba4
1311b4675320
148313d55a4
154b0188e4a
hex2d322d62c

12132210220 has 192 divisors, whose sum is σ = 30030336000. Its totient is φ = 4077112320.

The previous prime is 12132210137. The next prime is 12132210221. The reversal of 12132210220 is 2201223121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12132210194 and 12132210203.

It is not an unprimeable number, because it can be changed into a prime (12132210221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34762606 + ... + 34762954.

It is an arithmetic number, because the mean of its divisors is an integer number (156408000).

Almost surely, 212132210220 is an apocalyptic number.

12132210220 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 12132210220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15015168000).

12132210220 is an abundant number, since it is smaller than the sum of its proper divisors (17898125780).

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

12132210220 is a wasteful number, since it uses less digits than its factorization.

12132210220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 12132210220 its reverse (2201223121), we get a palindrome (14333433341).

The spelling of 12132210220 in words is "twelve billion, one hundred thirty-two million, two hundred ten thousand, two hundred twenty".