1201220120112 has 320 divisors, whose sum is σ = 3344494510080. Its totient is φ = 370624776192.

The previous prime is 1201220120101. The next prime is 1201220120119. The reversal of 1201220120112 is 2110210221021.

It is a junction number, because it is equal to n+sod(n) for n = 1201220120091 and 1201220120100.

It is not an unprimeable number, because it can be changed into a prime (1201220120119) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2628490188 + ... + 2628490644.

It is an arithmetic number, because the mean of its divisors is an integer number (10451545344).

Almost surely, 2^{1201220120112} is an apocalyptic number.

1201220120112 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 1201220120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1672247255040).

1201220120112 is an abundant number, since it is smaller than the sum of its proper divisors (2143274389968).

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

1201220120112 is a wasteful number, since it uses less digits than its factorization.

1201220120112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1201220120112 its reverse (2110210221021), we get a palindrome (3311430341133).

The spelling of 1201220120112 in words is "one trillion, two hundred one billion, two hundred twenty million, one hundred twenty thousand, one hundred twelve".