2122742110800 has 480 divisors, whose sum is σ = 7167166414848. Its totient is φ = 536367605760.

The previous prime is 2122742110799. The next prime is 2122742110807. The reversal of 2122742110800 is 80112472212.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122742110807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 731222149 + ... + 731225051.

Almost surely, 2^{2122742110800} is an apocalyptic number.

2122742110800 is a gapful number since it is divisible by the number (20) 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 2122742110800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3583583207424).

2122742110800 is an abundant number, since it is smaller than the sum of its proper divisors (5044424304048).

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

2122742110800 is a wasteful number, since it uses less digits than its factorization.

2122742110800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3387 (or 3376 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The spelling of 2122742110800 in words is "two trillion, one hundred twenty-two billion, seven hundred forty-two million, one hundred ten thousand, eight hundred".