11211012002000 has 160 divisors (see below), whose sum is σ = 27667022985888. Its totient is φ = 4392576000000.

The previous prime is 11211012001999. The next prime is 11211012002017. The reversal of 11211012002000 is 20021011211.

It can be written as a sum of positive squares in 16 ways, for example, as 8148763996816 + 3062248005184 = 2854604^2 + 1749928^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29211350 + ... + 29592650.

Almost surely, 2^{11211012002000} is an apocalyptic number.

11211012002000 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 11211012002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13833511492944).

11211012002000 is an abundant number, since it is smaller than the sum of its proper divisors (16456010983888).

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

11211012002000 is a wasteful number, since it uses less digits than its factorization.

11211012002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381626 (or 381610 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 11211012002000 its reverse (20021011211), we get a palindrome (11231033013211).

The spelling of 11211012002000 in words is "eleven trillion, two hundred eleven billion, twelve million, two thousand".