Search a number
-
+
12213200200000 = 2655316732927
BaseRepresentation
bin1011000110111001101101…
…1101011010000101000000
31121020120101220212102112011
42301232123131122011000
53100100113222400000
641550400002142304
72400242325553432
oct261563335320500
947216356772464
1012213200200000
11398965312a6a8
121453000051994
136a7913707a97
1430319cc60652
15162a601902ba
hexb1b9b75a140

12213200200000 has 336 divisors, whose sum is σ = 31326862952448. Its totient is φ = 4719052800000.

The previous prime is 12213200199997. The next prime is 12213200200141. The reversal of 12213200200000 is 200231221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4172598537 + ... + 4172601463.

It is an arithmetic number, because the mean of its divisors is an integer number (93234711168).

Almost surely, 212213200200000 is an apocalyptic number.

12213200200000 is a gapful number since it is divisible by the number (10) 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 12213200200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15663431476224).

12213200200000 is an abundant number, since it is smaller than the sum of its proper divisors (19113662752448).

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

12213200200000 is an frugal number, since it uses more digits than its factorization.

12213200200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3668 (or 3638 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 12213200200000 its reverse (200231221), we get a palindrome (12213400431221).

The spelling of 12213200200000 in words is "twelve trillion, two hundred thirteen billion, two hundred million, two hundred thousand".