111211122100000 has 144 divisors (see below), whose sum is σ = 294717347335656. Its totient is φ = 41062567680000.

The previous prime is 111211122099997. The next prime is 111211122100069. The reversal of 111211122100000 is 1221112111.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 33753450691984 + 77457671408016 = 5809772^2 + 8801004^2 .

It is a super-2 number, since 2×111211122100000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

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, 41473509 + ... + 44073508.

Almost surely, 2^{111211122100000} is an apocalyptic number.

111211122100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111211122100000 is an abundant number, since it is smaller than the sum of its proper divisors (183506225235656).

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

111211122100000 is an frugal number, since it uses more digits than its factorization.

111211122100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85547065 (or 85547037 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 111211122100000 its reverse (1221112111), we get a palindrome (111212343212111).

The spelling of 111211122100000 in words is "one hundred eleven trillion, two hundred eleven billion, one hundred twenty-two million, one hundred thousand".