11121122002000 has 80 divisors (see below), whose sum is σ = 26891684960400. Its totient is φ = 4448314483200.

The previous prime is 11121122001943. The next prime is 11121122002057. The reversal of 11121122002000 is 20022112111.

It is an interprime number because it is at equal distance from previous prime (11121122001943) and next prime (11121122002057).

It can be written as a sum of positive squares in 8 ways, for example, as 120861913104 + 11000260088896 = 347652^2 + 3316664^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90716746 + ... + 90839254.

It is an arithmetic number, because the mean of its divisors is an integer number (336146062005).

Almost surely, 2^{11121122002000} is an apocalyptic number.

11121122002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11121122002000 is an abundant number, since it is smaller than the sum of its proper divisors (15770562958400).

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

11121122002000 is a wasteful number, since it uses less digits than its factorization.

11121122002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167921 (or 167905 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 11121122002000 its reverse (20022112111), we get a palindrome (11141144114111).

The spelling of 11121122002000 in words is "eleven trillion, one hundred twenty-one billion, one hundred twenty-two million, two thousand".