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212112121211232 = 253113749843108917
BaseRepresentation
bin110000001110101000110011…
…101000110010100101100000
31000211000201110102112211111220
4300032220303220302211200
5210300221111012224412
62031042544022135040
762451411046030014
oct6016506350624540
91024021412484456
10212112121211232
11616492777436a0
121b958900281480
139148119782028
143a543d23d4544
15197c7ca40e68c
hexc0ea33a32960

212112121211232 has 192 divisors, whose sum is σ = 623846767106304. Its totient is φ = 62537371453440.

The previous prime is 212112121211183. The next prime is 212112121211233. The reversal of 212112121211232 is 232112121211212.

It is a happy number.

It is a super-2 number, since 2×2121121212112322 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212112121211233) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1947411238 + ... + 1947520154.

It is an arithmetic number, because the mean of its divisors is an integer number (3249201912012).

Almost surely, 2212112121211232 is an apocalyptic number.

212112121211232 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 212112121211232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311923383553152).

212112121211232 is an abundant number, since it is smaller than the sum of its proper divisors (411734645895072).

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

212112121211232 is a wasteful number, since it uses less digits than its factorization.

212112121211232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158821 (or 158813 counting only the distinct ones).

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

Adding to 212112121211232 its reverse (232112121211212), we get a palindrome (444224242422444).

The spelling of 212112121211232 in words is "two hundred twelve trillion, one hundred twelve billion, one hundred twenty-one million, two hundred eleven thousand, two hundred thirty-two".