1220112122112 has 288 divisors, whose sum is σ = 4010983388160. Its totient is φ = 363307991040.

The previous prime is 1220112122077. The next prime is 1220112122147. The reversal of 1220112122112 is 2112212110221.

It is an interprime number because it is at equal distance from previous prime (1220112122077) and next prime (1220112122147).

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 31 ways as a sum of consecutive naturals, for example, 2566528 + ... + 3004544.

Almost surely, 2^{1220112122112} is an apocalyptic number.

1220112122112 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 1220112122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2005491694080).

1220112122112 is an abundant number, since it is smaller than the sum of its proper divisors (2790871266048).

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

1220112122112 is a wasteful number, since it uses less digits than its factorization.

1220112122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438086 (or 438066 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 1220112122112 its reverse (2112212110221), we get a palindrome (3332324232333).

The spelling of 1220112122112 in words is "one trillion, two hundred twenty billion, one hundred twelve million, one hundred twenty-two thousand, one hundred twelve".