Search a number
-
+
11222202112000 = 2115311217101211
BaseRepresentation
bin1010001101001101111101…
…0111101101100000000000
31110201211110120010111211021
42203103133113231200000
52432331032220041000
635511224121555224
72235530426030665
oct243233727554000
943654416114737
1011222202112000
113637344591500
121312b30945b14
1363533140b8b9
142ab22c1a9a6c
15146dadd8211a
hexa34df5ed800

11222202112000 has 1152 divisors, whose sum is σ = 33070341769920. Its totient is φ = 3784704000000.

The previous prime is 11222202111907. The next prime is 11222202112061. The reversal of 11222202112000 is 21120222211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53185791895 + ... + 53185792105.

Almost surely, 211222202112000 is an apocalyptic number.

11222202112000 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 11222202112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16535170884960).

11222202112000 is an abundant number, since it is smaller than the sum of its proper divisors (21848139657920).

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

11222202112000 is a wasteful number, since it uses less digits than its factorization.

11222202112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 11222202112000 its reverse (21120222211), we get a palindrome (11243322334211).

It can be divided in two parts, 1122220211 and 2000, that added together give a palindrome (1122222211).

The spelling of 11222202112000 in words is "eleven trillion, two hundred twenty-two billion, two hundred two million, one hundred twelve thousand".