111801126666240 has 1800 divisors, whose sum is σ = 466538395631616. Its totient is φ = 25505877196800.

The previous prime is 111801126666239. The next prime is 111801126666253. The reversal of 111801126666240 is 42666621108111.

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 (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 13649260545 + ... + 13649268735.

Almost surely, 2^{111801126666240} is an apocalyptic number.

111801126666240 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 111801126666240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233269197815808).

111801126666240 is an abundant number, since it is smaller than the sum of its proper divisors (354737268965376).

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

111801126666240 is an equidigital number, since it uses as much as digits as its factorization.

111801126666240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8275 (or 8229 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 111801126666240 in words is "one hundred eleven trillion, eight hundred one billion, one hundred twenty-six million, six hundred sixty-six thousand, two hundred forty".