1221012002112 has 672 divisors, whose sum is σ = 3922819891200. Its totient is φ = 334009847808.

The previous prime is 1221012002101. The next prime is 1221012002129. The reversal of 1221012002112 is 2112002101221.

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 1221012002091 and 1221012002100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5475390033 + ... + 5475390255.

It is an arithmetic number, because the mean of its divisors is an integer number (5837529600).

Almost surely, 2^{1221012002112} is an apocalyptic number.

1221012002112 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 1221012002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1961409945600).

1221012002112 is an abundant number, since it is smaller than the sum of its proper divisors (2701807889088).

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

1221012002112 is a wasteful number, since it uses less digits than its factorization.

1221012002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 506 counting only the distinct ones).

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

Adding to 1221012002112 its reverse (2112002101221), we get a palindrome (3333014103333).

The spelling of 1221012002112 in words is "one trillion, two hundred twenty-one billion, twelve million, two thousand, one hundred twelve".