Search a number
-
+
11220011220000 = 2535411171019901
BaseRepresentation
bin1010001101000101110011…
…0010000111110000100000
31110201121210212120200000010
42203101130302013300200
52432312040333020000
635510222455324520
72235422223534522
oct243213462076040
943647725520003
1011220011220000
11363641a912960
12131261b080740
13635072548abb
142ab0a121da12
15146cd1863d50
hexa345cc87c20

11220011220000 has 960 divisors, whose sum is σ = 42936675965568. Its totient is φ = 2534400000000.

The previous prime is 11220011219929. The next prime is 11220011220043. The reversal of 11220011220000 is 2211002211.

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

It is a zygodrome in base 10.

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, 1133215050 + ... + 1133224950.

Almost surely, 211220011220000 is an apocalyptic number.

11220011220000 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 11220011220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21468337982784).

11220011220000 is an abundant number, since it is smaller than the sum of its proper divisors (31716664745568).

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

11220011220000 is a wasteful number, since it uses less digits than its factorization.

11220011220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10063 (or 10040 counting only the distinct ones).

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

Adding to 11220011220000 its reverse (2211002211), we get a palindrome (11222222222211).

It can be divided in two parts, 112200 and 11220000, that multiplied together give a square (1258884000000 = 11220002).

The spelling of 11220011220000 in words is "eleven trillion, two hundred twenty billion, eleven million, two hundred twenty thousand".