11211531040000 has 180 divisors, whose sum is σ = 28615501558336. Its totient is φ = 4380316416000.

The previous prime is 11211531039991. The next prime is 11211531040091. The reversal of 11211531040000 is 4013511211.

It is a self number, because there is not a number n which added to its sum of digits gives 11211531040000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6065209 + ... + 7694791.

Almost surely, 2^{11211531040000} is an apocalyptic number.

11211531040000 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 11211531040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14307750779168).

11211531040000 is an abundant number, since it is smaller than the sum of its proper divisors (17403970518336).

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

11211531040000 is an frugal number, since it uses more digits than its factorization.

11211531040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1629662 (or 1629633 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 19.

Adding to 11211531040000 its reverse (4013511211), we get a palindrome (11215544551211).

The spelling of 11211531040000 in words is "eleven trillion, two hundred eleven billion, five hundred thirty-one million, forty thousand".