1221201000112 has 80 divisors (see below), whose sum is σ = 2539843153920. Its totient is φ = 567047520000.

The previous prime is 1221201000091. The next prime is 1221201000143. The reversal of 1221201000112 is 2110001021221.

It is a junction number, because it is equal to n+sod(n) for n = 1221201000092 and 1221201000101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18511987 + ... + 18577837.

It is an arithmetic number, because the mean of its divisors is an integer number (31748039424).

Almost surely, 2^{1221201000112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1221201000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269921576960).

1221201000112 is an abundant number, since it is smaller than the sum of its proper divisors (1318642153808).

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

1221201000112 is a wasteful number, since it uses less digits than its factorization.

1221201000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67082 (or 67076 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1221201000112 its reverse (2110001021221), we get a palindrome (3331202021333).

The spelling of 1221201000112 in words is "one trillion, two hundred twenty-one billion, two hundred one million, one hundred twelve", and thus it is an aban number.