Search a number
-
+
212332411720000 = 26541121311872843
BaseRepresentation
bin110000010001110101111101…
…111110011001000101000000
31000211210210001212000011101001
4300101311331332121011000
5210312323234400020000
62031332055140221344
762503340050330165
oct6021657576310500
91024723055004331
10212332411720000
1161723740a15400
121b99353b09a854
139162b257027c0
143a60d2d1c006c
1519833bed8646a
hexc11d7df99140

212332411720000 has 840 divisors, whose sum is σ = 623994072454368. Its totient is φ = 71187325440000.

The previous prime is 212332411719991. The next prime is 212332411720043. The reversal of 212332411720000 is 27114233212.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 74686038579 + ... + 74686041421.

Almost surely, 2212332411720000 is an apocalyptic number.

212332411720000 is a gapful number since it is divisible by the number (20) 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 212332411720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311997036227184).

212332411720000 is an abundant number, since it is smaller than the sum of its proper divisors (411661660734368).

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

212332411720000 is a wasteful number, since it uses less digits than its factorization.

212332411720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4097 (or 4061 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

Adding to 212332411720000 its reverse (27114233212), we get a palindrome (212359525953212).

The spelling of 212332411720000 in words is "two hundred twelve trillion, three hundred thirty-two billion, four hundred eleven million, seven hundred twenty thousand".