11012222001000 has 512 divisors, whose sum is σ = 38045210112000. Its totient is φ = 2629756800000.

The previous prime is 11012222000981. The next prime is 11012222001029. The reversal of 11012222001000 is 10022221011.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 663258699 + ... + 663275301.

It is an arithmetic number, because the mean of its divisors is an integer number (74307051000).

Almost surely, 2^{11012222001000} is an apocalyptic number.

11012222001000 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 11012222001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19022605056000).

11012222001000 is an abundant number, since it is smaller than the sum of its proper divisors (27032988111000).

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

11012222001000 is a wasteful number, since it uses less digits than its factorization.

11012222001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16938 (or 16924 counting only the distinct ones).

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

Adding to 11012222001000 its reverse (10022221011), we get a palindrome (11022244222011).

It can be divided in two parts, 110122 and 22001000, that added together give a palindrome (22111122).

The spelling of 11012222001000 in words is "eleven trillion, twelve billion, two hundred twenty-two million, one thousand".