111221212010112 has 288 divisors, whose sum is σ = 332191676407500. Its totient is φ = 35714547302400.

The previous prime is 111221212010081. The next prime is 111221212010143. The reversal of 111221212010112 is 211010212122111.

It is a happy number.

111221212010112 is a `hidden beast` number, since 111 + 221 + 21 + 201 + 0 + 112 = 666.

It is an interprime number because it is at equal distance from previous prime (111221212010081) and next prime (111221212010143).

It can be written as a sum of positive squares in 6 ways, for example, as 100405690629696 + 10815521380416 = 10020264^2 + 3288696^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 158936764 + ... + 159635012.

Almost surely, 2^{111221212010112} is an apocalyptic number.

111221212010112 is a gapful number since it is divisible by the number (12) 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 111221212010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166095838203750).

111221212010112 is an abundant number, since it is smaller than the sum of its proper divisors (220970464397388).

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

111221212010112 is a wasteful number, since it uses less digits than its factorization.

111221212010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698444 (or 698392 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 111221212010112 its reverse (211010212122111), we get a palindrome (322231424132223).

The spelling of 111221212010112 in words is "one hundred eleven trillion, two hundred twenty-one billion, two hundred twelve million, ten thousand, one hundred twelve".