1011200022112 has 192 divisors, whose sum is σ = 2428056981504. Its totient is φ = 405403729920.

The previous prime is 1011200022059. The next prime is 1011200022137. The reversal of 1011200022112 is 2112200021101.

It is a super-3 number, since 3×1011200022112³ (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1011200022092 and 1011200022101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28945968 + ... + 28980880.

It is an arithmetic number, because the mean of its divisors is an integer number (12646130112).

Almost surely, 2^{1011200022112} 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 1011200022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1214028490752).

1011200022112 is an abundant number, since it is smaller than the sum of its proper divisors (1416856959392).

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

1011200022112 is a wasteful number, since it uses less digits than its factorization.

1011200022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35101 (or 35093 counting only the distinct ones).

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

Adding to 1011200022112 its reverse (2112200021101), we get a palindrome (3123400043213).

The spelling of 1011200022112 in words is "one trillion, eleven billion, two hundred million, twenty-two thousand, one hundred twelve".