111952268043000 has 1024 divisors, whose sum is σ = 451751111884800. Its totient is φ = 22407989760000.

The previous prime is 111952268042983. The next prime is 111952268043001. The reversal of 111952268043000 is 340862259111.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111952268043001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 748134187 + ... + 748283813.

It is an arithmetic number, because the mean of its divisors is an integer number (441163195200).

Almost surely, 2^{111952268043000} is an apocalyptic number.

111952268043000 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 111952268043000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225875555942400).

111952268043000 is an abundant number, since it is smaller than the sum of its proper divisors (339798843841800).

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

111952268043000 is a wasteful number, since it uses less digits than its factorization.

111952268043000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149789 (or 149775 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 111952268043000 in words is "one hundred eleven trillion, nine hundred fifty-two billion, two hundred sixty-eight million, forty-three thousand".