1111055106000 has 480 divisors, whose sum is σ = 4190086817280. Its totient is φ = 252540288000.

The previous prime is 1111055105999. The next prime is 1111055106001. The reversal of 1111055106000 is 6015501111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1111055105999) and next prime (1111055106001).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1111055106001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53203561 + ... + 53224439.

It is an arithmetic number, because the mean of its divisors is an integer number (8729347536).

Almost surely, 2^{1111055106000} is an apocalyptic number.

1111055106000 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 1111055106000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2095043408640).

1111055106000 is an abundant number, since it is smaller than the sum of its proper divisors (3079031711280).

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

1111055106000 is a wasteful number, since it uses less digits than its factorization.

1111055106000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21100 (or 21077 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 21.

The spelling of 1111055106000 in words is "one trillion, one hundred eleven billion, fifty-five million, one hundred six thousand".