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212132323231212 = 2232937731371799203
BaseRepresentation
bin110000001110111011100111…
…110001011000010111101100
31000211002122121100012210002010
4300032323213301120113230
5210301033444221344322
62031100124405401220
762453024503253316
oct6016734761302754
91024078540183063
10212132323231212
11616568a420527a
121b9607b9a09210
139149cb8c704c7
143a5538b4667b6
15197d0adc8320c
hexc0eee7c585ec

212132323231212 has 384 divisors, whose sum is σ = 540036114508800. Its totient is φ = 64668704292864.

The previous prime is 212132323231079. The next prime is 212132323231253.

It is a happy number.

212132323231212 is nontrivially palindromic in base 10.

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

It is a self number, because there is not a number n which added to its sum of digits gives 212132323231212.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23050340203 + ... + 23050349405.

It is an arithmetic number, because the mean of its divisors is an integer number (1406344048200).

Almost surely, 2212132323231212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212132323231212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270018057254400).

212132323231212 is an abundant number, since it is smaller than the sum of its proper divisors (327903791277588).

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

212132323231212 is a wasteful number, since it uses less digits than its factorization.

212132323231212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9665 (or 9663 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The spelling of 212132323231212 in words is "two hundred twelve trillion, one hundred thirty-two billion, three hundred twenty-three million, two hundred thirty-one thousand, two hundred twelve".