2122112001000 has 128 divisors (see below), whose sum is σ = 6621644914560. Its totient is φ = 565840512000.

The previous prime is 2122112000999. The next prime is 2122112001029. The reversal of 2122112001000 is 1002112212.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 36694107 + ... + 36751893.

It is an arithmetic number, because the mean of its divisors is an integer number (51731600895).

Almost surely, 2^{2122112001000} is an apocalyptic number.

2122112001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122112001000 is an abundant number, since it is smaller than the sum of its proper divisors (4499532913560).

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

2122112001000 is a wasteful number, since it uses less digits than its factorization.

2122112001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70052 (or 70038 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2122112001000 its reverse (1002112212), we get a palindrome (2123114113212).

The spelling of 2122112001000 in words is "two trillion, one hundred twenty-two billion, one hundred twelve million, one thousand".