1011122012000 has 144 divisors (see below), whose sum is σ = 2621966360832. Its totient is φ = 383161478400.

The previous prime is 1011122011997. The next prime is 1011122012023. The reversal of 1011122012000 is 2102211101.

It is a super-3 number, since 3×1011122012000³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1093889 + ... + 1794111.

It is an arithmetic number, because the mean of its divisors is an integer number (18208099728).

Almost surely, 2^{1011122012000} is an apocalyptic number.

1011122012000 is a gapful number since it is divisible by the number (10) 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 1011122012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310983180416).

1011122012000 is an abundant number, since it is smaller than the sum of its proper divisors (1610844348832).

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

1011122012000 is an equidigital number, since it uses as much as digits as its factorization.

1011122012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700286 (or 700249 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1011122012000 its reverse (2102211101), we get a palindrome (1013224223101).

It can be divided in two parts, 101112 and 2012000, that added together give a palindrome (2113112).

The spelling of 1011122012000 in words is "one trillion, eleven billion, one hundred twenty-two million, twelve thousand".