112220012221200 has 180 divisors, whose sum is σ = 419391123626020. Its totient is φ = 27623387612160.

The previous prime is 112220012221199. The next prime is 112220012221237. The reversal of 112220012221200 is 2122210022211.

It is a happy number.

112220012221200 is a `hidden beast` number, since 1 + 12 + 220 + 0 + 12 + 221 + 200 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 10277307518976 + 101942704702224 = 3205824^2 + 10096668^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×112220012221200² (a number of 29 digits) contains 22 as substring.

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, 1198884955 + ... + 1198978554.

Almost surely, 2^{112220012221200} is an apocalyptic number.

112220012221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112220012221200 is an abundant number, since it is smaller than the sum of its proper divisors (307171111404820).

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

112220012221200 is a wasteful number, since it uses less digits than its factorization.

112220012221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2397863546 (or 2397863532 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 112220012221200 its reverse (2122210022211), we get a palindrome (114342222243411).

The spelling of 112220012221200 in words is "one hundred twelve trillion, two hundred twenty billion, twelve million, two hundred twenty-one thousand, two hundred".