111998208000 has 768 divisors, whose sum is σ = 432721336320. Its totient is φ = 25190400000.

The previous prime is 111998207999. The next prime is 111998208001. The reversal of 111998208000 is 802899111.

It is an interprime number because it is at equal distance from previous prime (111998207999) and next prime (111998208001).

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×111998208000² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 111998208000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111998208001) 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, 446207875 + ... + 446208125.

It is an arithmetic number, because the mean of its divisors is an integer number (563439240).

Almost surely, 2^111998208000 is an apocalyptic number.

111998208000 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 111998208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216360668160).

111998208000 is an abundant number, since it is smaller than the sum of its proper divisors (320723128320).

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

111998208000 is an equidigital number, since it uses as much as digits as its factorization.

111998208000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 39.

The spelling of 111998208000 in words is "one hundred eleven billion, nine hundred ninety-eight million, two hundred eight thousand".