1106127624714 has 128 divisors (see below), whose sum is σ = 2730725222400. Its totient is φ = 291623224320.

The previous prime is 1106127624709. The next prime is 1106127624731. The reversal of 1106127624714 is 4174267216011.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20225134 + ... + 20279750.

It is an arithmetic number, because the mean of its divisors is an integer number (21333790800).

Almost surely, 2^{1106127624714} is an apocalyptic number.

1106127624714 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1106127624714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365362611200).

1106127624714 is an abundant number, since it is smaller than the sum of its proper divisors (1624597597686).

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

1106127624714 is a wasteful number, since it uses less digits than its factorization.

1106127624714 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55308.

The product of its (nonzero) digits is 112896, while the sum is 42.

The spelling of 1106127624714 in words is "one trillion, one hundred six billion, one hundred twenty-seven million, six hundred twenty-four thousand, seven hundred fourteen".