11211011012000 has 192 divisors, whose sum is σ = 29179030476960. Its totient is φ = 4218697728000.

The previous prime is 11211011011987. The next prime is 11211011012029. The reversal of 11211011012000 is 21011011211.

It can be written as a sum of positive squares in 16 ways, for example, as 3983968096144 + 7227042915856 = 1995988^2 + 2688316^2 .

It is a super-2 number, since 2×11211011012000² (a number of 27 digits) contains 22 as substring.

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, 154255670 + ... + 154328330.

Almost surely, 2^{11211011012000} is an apocalyptic number.

11211011012000 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 11211011012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14589515238480).

11211011012000 is an abundant number, since it is smaller than the sum of its proper divisors (17968019464960).

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

11211011012000 is a wasteful number, since it uses less digits than its factorization.

11211011012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74972 (or 74954 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 11211011012000 its reverse (21011011211), we get a palindrome (11232022023211).

The spelling of 11211011012000 in words is "eleven trillion, two hundred eleven billion, eleven million, twelve thousand".