2001129822000 has 120 divisors (see below), whose sum is σ = 6989279487840. Its totient is φ = 533634614400.

The previous prime is 2001129821987. The next prime is 2001129822007. The reversal of 2001129822000 is 2289211002.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (2001129822007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55568940 + ... + 55604939.

It is an arithmetic number, because the mean of its divisors is an integer number (58243995732).

Almost surely, 2^{2001129822000} is an apocalyptic number.

2001129822000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001129822000 is an abundant number, since it is smaller than the sum of its proper divisors (4988149665840).

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

2001129822000 is a wasteful number, since it uses less digits than its factorization.

2001129822000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111173908 (or 111173889 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 2001129822000 in words is "two trillion, one billion, one hundred twenty-nine million, eight hundred twenty-two thousand".