1011222122112 has 96 divisors (see below), whose sum is σ = 2918141499780. Its totient is φ = 336119021568.

The previous prime is 1011222122023. The next prime is 1011222122117. The reversal of 1011222122112 is 2112212221101.

It can be written as a sum of positive squares in 2 ways, for example, as 1007325366336 + 3896755776 = 1003656^2 + 62424^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1011222122117) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 836683 + ... + 1649994.

Almost surely, 2^{1011222122112} is an apocalyptic number.

1011222122112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1011222122112 is an abundant number, since it is smaller than the sum of its proper divisors (1906919377668).

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

1011222122112 is a wasteful number, since it uses less digits than its factorization.

1011222122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2487050 (or 2487035 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 1011222122112 its reverse (2112212221101), we get a palindrome (3123434343213).

The spelling of 1011222122112 in words is "one trillion, eleven billion, two hundred twenty-two million, one hundred twenty-two thousand, one hundred twelve".