Search a number
-
+
212200021110000 = 24354711401229081
BaseRepresentation
bin110000001111111010101010…
…111000010010110011110000
31000211100010100022201100100010
4300033322222320102303300
5210303141120401010000
62031151202142054520
762460642224605320
oct6017725270226360
91024303308640303
10212200021110000
1161682583967630
121b97195187a440
1391534b747c351
143a5877041b280
15197ec22203d50
hexc0feaae12cf0

212200021110000 has 800 divisors, whose sum is σ = 856171902491136. Its totient is φ = 43983360000000.

The previous prime is 212200021109983. The next prime is 212200021110013. The reversal of 212200021110000 is 11120002212.

212200021110000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 926195460 + ... + 926424540.

Almost surely, 2212200021110000 is an apocalyptic number.

212200021110000 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 212200021110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428085951245568).

212200021110000 is an abundant number, since it is smaller than the sum of its proper divisors (643971881381136).

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

212200021110000 is a wasteful number, since it uses less digits than its factorization.

212200021110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229531 (or 229510 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 212200021110000 its reverse (11120002212), we get a palindrome (212211141112212).

The spelling of 212200021110000 in words is "two hundred twelve trillion, two hundred billion, twenty-one million, one hundred ten thousand".