1211000222112 has 96 divisors (see below), whose sum is σ = 3203675701632. Its totient is φ = 400526244864.

The previous prime is 1211000222093. The next prime is 1211000222167. The reversal of 1211000222112 is 2112220001121.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×1211000222112³ (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1211000222091 and 1211000222100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8862018 + ... + 8997630.

It is an arithmetic number, because the mean of its divisors is an integer number (33371621892).

Almost surely, 2^{1211000222112} is an apocalyptic number.

1211000222112 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 1211000222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601837850816).

1211000222112 is an abundant number, since it is smaller than the sum of its proper divisors (1992675479520).

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

1211000222112 is a wasteful number, since it uses less digits than its factorization.

1211000222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136350 (or 136342 counting only the distinct ones).

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

Adding to 1211000222112 its reverse (2112220001121), we get a palindrome (3323220223233).

The spelling of 1211000222112 in words is "one trillion, two hundred eleven billion, two hundred twenty-two thousand, one hundred twelve".