11111121201000 has 256 divisors, whose sum is σ = 35956183461120. Its totient is φ = 2854339200000.

The previous prime is 11111121200989. The next prime is 11111121201029. The reversal of 11111121201000 is 10212111111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10715455 + ... + 11706545.

It is an arithmetic number, because the mean of its divisors is an integer number (140453841645).

Almost surely, 2^{11111121201000} is an apocalyptic number.

11111121201000 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 11111121201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17978091730560).

11111121201000 is an abundant number, since it is smaller than the sum of its proper divisors (24845062260120).

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

11111121201000 is a wasteful number, since it uses less digits than its factorization.

11111121201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991253 (or 991239 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 11111121201000 its reverse (10212111111), we get a palindrome (11121333312111).

The spelling of 11111121201000 in words is "eleven trillion, one hundred eleven billion, one hundred twenty-one million, two hundred one thousand".