1221011210112 has 128 divisors (see below), whose sum is σ = 3332071462560. Its totient is φ = 395872468992.

The previous prime is 1221011210071. The next prime is 1221011210113. The reversal of 1221011210112 is 2110121101221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1221011210112² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1221011210091 and 1221011210100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221011210113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48763548 + ... + 48788580.

Almost surely, 2^{1221011210112} is an apocalyptic number.

1221011210112 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 1221011210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1666035731280).

1221011210112 is an abundant number, since it is smaller than the sum of its proper divisors (2111060252448).

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

1221011210112 is a wasteful number, since it uses less digits than its factorization.

1221011210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28520 (or 28508 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 1221011210112 its reverse (2110121101221), we get a palindrome (3331132311333).

The spelling of 1221011210112 in words is "one trillion, two hundred twenty-one billion, eleven million, two hundred ten thousand, one hundred twelve".