11114455012000 has 192 divisors, whose sum is σ = 28248099909120. Its totient is φ = 4294498176000.

The previous prime is 11114455011997. The next prime is 11114455012019. The reversal of 11114455012000 is 21055441111.

It is a happy number.

It is a super-2 number, since 2×11114455012000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 31 ways as a sum of consecutive naturals, for example, 20301865 + ... + 20842135.

It is an arithmetic number, because the mean of its divisors is an integer number (147125520360).

Almost surely, 2^{11114455012000} is an apocalyptic number.

11114455012000 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 11114455012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14124049954560).

11114455012000 is an abundant number, since it is smaller than the sum of its proper divisors (17133644897120).

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

11114455012000 is a wasteful number, since it uses less digits than its factorization.

11114455012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540472 (or 540454 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 25.

The spelling of 11114455012000 in words is "eleven trillion, one hundred fourteen billion, four hundred fifty-five million, twelve thousand".