111000010120000 has 420 divisors, whose sum is σ = 299519845253244. Its totient is φ = 40768839680000.

The previous prime is 111000010119967. The next prime is 111000010120001. The reversal of 111000010120000 is 21010000111.

It can be written as a sum of positive squares in 30 ways, for example, as 85745525772544 + 25254484347456 = 9259888^2 + 5025384^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111000010120001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 473842902 + ... + 474077098.

Almost surely, 2^{111000010120000} is an apocalyptic number.

111000010120000 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 111000010120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149759922626622).

111000010120000 is an abundant number, since it is smaller than the sum of its proper divisors (188519835133244).

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

111000010120000 is an equidigital number, since it uses as much as digits as its factorization.

111000010120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234304 (or 234262 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 111000010120000 its reverse (21010000111), we get a palindrome (111021020120111).

The spelling of 111000010120000 in words is "one hundred eleven trillion, ten million, one hundred twenty thousand".