111220211122000 has 80 divisors (see below), whose sum is σ = 268932838870800. Its totient is φ = 44487692659200.

The previous prime is 111220211121991. The next prime is 111220211122021. The reversal of 111220211122000 is 221112022111.

It can be written as a sum of positive squares in 8 ways, for example, as 19180440684304 + 92039770437696 = 4379548^2 + 9593736^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 357662586 + ... + 357973414.

It is an arithmetic number, because the mean of its divisors is an integer number (3361660485885).

Almost surely, 2^{111220211122000} is an apocalyptic number.

111220211122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111220211122000 is an abundant number, since it is smaller than the sum of its proper divisors (157712627748800).

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

111220211122000 is a wasteful number, since it uses less digits than its factorization.

111220211122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489761 (or 489745 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 111220211122000 its reverse (221112022111), we get a palindrome (111441323144111).

The spelling of 111220211122000 in words is "one hundred eleven trillion, two hundred twenty billion, two hundred eleven million, one hundred twenty-two thousand".