1001122012000 has 192 divisors, whose sum is σ = 2800042172928. Its totient is φ = 348216000000.

The previous prime is 1001122011991. The next prime is 1001122012001. The reversal of 1001122012000 is 2102211001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001122012001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 517375 + ... + 1506625.

It is an arithmetic number, because the mean of its divisors is an integer number (14583552984).

Almost surely, 2^{1001122012000} is an apocalyptic number.

1001122012000 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 1001122012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1400021086464).

1001122012000 is an abundant number, since it is smaller than the sum of its proper divisors (1798920160928).

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

1001122012000 is a wasteful number, since it uses less digits than its factorization.

1001122012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989310 (or 989292 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1001122012000 its reverse (2102211001), we get a palindrome (1003224223001).

It can be divided in two parts, 100112 and 2012000, that added together give a palindrome (2112112).

The spelling of 1001122012000 in words is "one trillion, one billion, one hundred twenty-two million, twelve thousand".