1000022112000 has 360 divisors, whose sum is σ = 3721402116432. Its totient is φ = 266671872000.

The previous prime is 1000022111999. The next prime is 1000022112031. The reversal of 1000022112000 is 2112200001.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2399095 + ... + 2784905.

Almost surely, 2^{1000022112000} is an apocalyptic number.

1000022112000 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 1000022112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1860701058216).

1000022112000 is an abundant number, since it is smaller than the sum of its proper divisors (2721380004432).

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

1000022112000 is an frugal number, since it uses more digits than its factorization.

1000022112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385854 (or 385821 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1000022112000 its reverse (2112200001), we get a palindrome (1002134312001).

The spelling of 1000022112000 in words is "one trillion, twenty-two million, one hundred twelve thousand".