110006121066000 has 640 divisors, whose sum is σ = 377317564416000. Its totient is φ = 27477605376000.

The previous prime is 110006121065999. The next prime is 110006121066047. The reversal of 110006121066000 is 660121600011.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36680932501 + ... + 36680935499.

It is an arithmetic number, because the mean of its divisors is an integer number (589558694400).

Almost surely, 2^{110006121066000} is an apocalyptic number.

110006121066000 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 110006121066000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188658782208000).

110006121066000 is an abundant number, since it is smaller than the sum of its proper divisors (267311443350000).

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

110006121066000 is a wasteful number, since it uses less digits than its factorization.

110006121066000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4640 (or 4624 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 110006121066000 its reverse (660121600011), we get a palindrome (110666242666011).

The spelling of 110006121066000 in words is "one hundred ten trillion, six billion, one hundred twenty-one million, sixty-six thousand".