11000200122000 has 240 divisors, whose sum is σ = 39458413932912. Its totient is φ = 2854105804800.

The previous prime is 11000200121957. The next prime is 11000200122049. The reversal of 11000200122000 is 22100200011.

It can be written as a sum of positive squares in 8 ways, for example, as 5194953211536 + 5805246910464 = 2279244^2 + 2409408^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7592409 + ... + 8924408.

Almost surely, 2^{11000200122000} is an apocalyptic number.

11000200122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11000200122000 is an abundant number, since it is smaller than the sum of its proper divisors (28458213810912).

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

11000200122000 is a wasteful number, since it uses less digits than its factorization.

11000200122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16516883 (or 16516864 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 11000200122000 its reverse (22100200011), we get a palindrome (11022300322011).

The spelling of 11000200122000 in words is "eleven trillion, two hundred million, one hundred twenty-two thousand".