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11221122220000 = 2554711191013797
BaseRepresentation
bin1010001101001001111100…
…0000001111111111100000
31110201201200022010022111021
42203102133000033333200
52432321324242020000
635510525024055224
72235461604063550
oct243223700177740
943651608108437
1011221122220000
11363693aa60680
12131288b164514
136351bb77b554
142ab1689c3160
15146d4916e11a
hexa349f00ffe0

11221122220000 has 960 divisors, whose sum is σ = 36597207144960. Its totient is φ = 3279744000000.

The previous prime is 11221122219961. The next prime is 11221122220079. The reversal of 11221122220000 is 2222112211.

It is a happy number.

11221122220000 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 (16).

It is a zygodrome in base 10.

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, 2955258102 + ... + 2955261898.

It is an arithmetic number, because the mean of its divisors is an integer number (38122090776).

Almost surely, 211221122220000 is an apocalyptic number.

11221122220000 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 11221122220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18298603572480).

11221122220000 is an abundant number, since it is smaller than the sum of its proper divisors (25376084924960).

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

11221122220000 is a wasteful number, since it uses less digits than its factorization.

11221122220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3965 (or 3942 counting only the distinct ones).

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

Adding to 11221122220000 its reverse (2222112211), we get a palindrome (11223344332211).

The spelling of 11221122220000 in words is "eleven trillion, two hundred twenty-one billion, one hundred twenty-two million, two hundred twenty thousand".