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212211221112132 = 2231117373138165813
BaseRepresentation
bin110000010000000101000110…
…011100111010010101000100
31000211101012020212111101220220
4300100011012130322111010
5210303332040101042012
62031200253353024340
762461516613214624
oct6020050634722504
91024335225441826
10212211221112132
1161687300a89a40
121b973b586b50b0
139154580961c48
143a59113ab0884
15198017a5ed08c
hexc1014673a544

212211221112132 has 192 divisors, whose sum is σ = 589283811535104. Its totient is φ = 58699776245760.

The previous prime is 212211221112127. The next prime is 212211221112151. The reversal of 212211221112132 is 231211122112212.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21904858 + ... + 30070670.

It is an arithmetic number, because the mean of its divisors is an integer number (3069186518412).

Almost surely, 2212211221112132 is an apocalyptic number.

212211221112132 is a gapful number since it is divisible by the number (22) 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 212211221112132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294641905767552).

212211221112132 is an abundant number, since it is smaller than the sum of its proper divisors (377072590422972).

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

212211221112132 is a wasteful number, since it uses less digits than its factorization.

212211221112132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8166198 (or 8166196 counting only the distinct ones).

The product of its digits is 384, while the sum is 24.

Adding to 212211221112132 its reverse (231211122112212), we get a palindrome (443422343224344).

The spelling of 212211221112132 in words is "two hundred twelve trillion, two hundred eleven billion, two hundred twenty-one million, one hundred twelve thousand, one hundred thirty-two".