2142200119104 has 448 divisors, whose sum is σ = 6735894681600. Its totient is φ = 665269272576.

The previous prime is 2142200119061. The next prime is 2142200119139. The reversal of 2142200119104 is 4019110022412.

It is a happy number.

2142200119104 is a `hidden beast` number, since 21 + 422 + 0 + 0 + 119 + 104 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1367070129 + ... + 1367071695.

It is an arithmetic number, because the mean of its divisors is an integer number (15035479200).

Almost surely, 2^{2142200119104} is an apocalyptic number.

2142200119104 is a gapful number since it is divisible by the number (24) 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 2142200119104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3367947340800).

2142200119104 is an abundant number, since it is smaller than the sum of its proper divisors (4593694562496).

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

2142200119104 is a wasteful number, since it uses less digits than its factorization.

2142200119104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2047 (or 2031 counting only the distinct ones).

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

The spelling of 2142200119104 in words is "two trillion, one hundred forty-two billion, two hundred million, one hundred nineteen thousand, one hundred four".