111842120952000 has 448 divisors, whose sum is σ = 410831950089600. Its totient is φ = 29788541337600.

The previous prime is 111842120951933. The next prime is 111842120952007. The reversal of 111842120952000 is 259021248111.

111842120952000 is a `hidden beast` number, since 1 + 1 + 1 + 8 + 4 + 2 + 120 + 9 + 520 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (111842120952007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 178751704 + ... + 179376296.

Almost surely, 2^{111842120952000} is an apocalyptic number.

111842120952000 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 111842120952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205415975044800).

111842120952000 is an abundant number, since it is smaller than the sum of its proper divisors (298989829137600).

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

111842120952000 is an equidigital number, since it uses as much as digits as its factorization.

111842120952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625458 (or 625432 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 111842120952000 in words is "one hundred eleven trillion, eight hundred forty-two billion, one hundred twenty million, nine hundred fifty-two thousand".