111211201001120 has 144 divisors (see below), whose sum is σ = 289367137463040. Its totient is φ = 40360034711040.

The previous prime is 111211201001083. The next prime is 111211201001171. The reversal of 111211201001120 is 21100102112111.

It is a super-2 number, since 2×111211201001120² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 111211201001095 and 111211201001104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4027961 + ... + 15448199.

It is an arithmetic number, because the mean of its divisors is an integer number (2009494010160).

Almost surely, 2^{111211201001120} is an apocalyptic number.

111211201001120 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 111211201001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144683568731520).

111211201001120 is an abundant number, since it is smaller than the sum of its proper divisors (178155936461920).

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

111211201001120 is a wasteful number, since it uses less digits than its factorization.

111211201001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11420779 (or 11420760 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 111211201001120 its reverse (21100102112111), we get a palindrome (132311303113231).

The spelling of 111211201001120 in words is "one hundred eleven trillion, two hundred eleven billion, two hundred one million, one thousand, one hundred twenty".