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11222211000000 = 263567111337101
BaseRepresentation
bin1010001101001101111111…
…1001100111011011000000
31110201211111011212001212110
42203103133321213123000
52432331042004000000
635511225040255320
72235530564416350
oct243233771473300
943654434761773
1011222211000000
113637349602160
121312b33911540
13635333201280
142ab22d440b60
15146daea3a850
hexa34dfe676c0

11222211000000 has 3136 divisors, whose sum is σ = 51685798413312. Its totient is φ = 2073600000000.

The previous prime is 11222210999983. The next prime is 11222211000019. The reversal of 11222211000000 is 11222211.

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 a self number, because there is not a number n which added to its sum of digits gives 11222211000000.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 111110999950 + ... + 111111000050.

Almost surely, 211222211000000 is an apocalyptic number.

11222211000000 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 11222211000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25842899206656).

11222211000000 is an abundant number, since it is smaller than the sum of its proper divisors (40463587413312).

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

11222211000000 is a wasteful number, since it uses less digits than its factorization.

11222211000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 179 counting only the distinct ones).

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

Adding to 11222211000000 its reverse (11222211), we get a palindrome (11222222222211).

11222211000000 divided by its reverse (11222211) gives a 6-th power (1000000 = 106).

It can be divided in two parts, 1122 and 2211000000, that added together give a palindrome (2211001122).

The spelling of 11222211000000 in words is "eleven trillion, two hundred twenty-two billion, two hundred eleven million", and thus it is an aban number.