1106519919120 has 2880 divisors, whose sum is σ = 5279287104000. Its totient is φ = 202330275840.

The previous prime is 1106519919097. The next prime is 1106519919229. The reversal of 1106519919120 is 219199156011.

It is a happy number.

1106519919120 is a `hidden beast` number, since 1 + 1 + 0 + 6 + 519 + 9 + 1 + 9 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 575 ways as a sum of consecutive naturals, for example, 12432808036 + ... + 12432808124.

It is an arithmetic number, because the mean of its divisors is an integer number (1833085800).

Almost surely, 2^{1106519919120} is an apocalyptic number.

1106519919120 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 1106519919120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2639643552000).

1106519919120 is an abundant number, since it is smaller than the sum of its proper divisors (4172767184880).

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

1106519919120 is a wasteful number, since it uses less digits than its factorization.

1106519919120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 45.

The spelling of 1106519919120 in words is "one trillion, one hundred six billion, five hundred nineteen million, nine hundred nineteen thousand, one hundred twenty".