2122050114000 has 120 divisors (see below), whose sum is σ = 7411613761032. Its totient is φ = 565880025600.

The previous prime is 2122050113941. The next prime is 2122050114001. The reversal of 2122050114000 is 4110502212.

2122050114000 is a `hidden beast` number, since 2 + 1 + 2 + 20 + 501 + 140 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 83928407616 + 2038121706384 = 289704^2 + 1427628^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122050114001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58927837 + ... + 58963836.

Almost surely, 2^{2122050114000} is an apocalyptic number.

2122050114000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122050114000 is an abundant number, since it is smaller than the sum of its proper divisors (5289563647032).

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

2122050114000 is a wasteful number, since it uses less digits than its factorization.

2122050114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117891702 (or 117891683 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 2122050114000 its reverse (4110502212), we get a palindrome (2126160616212).

The spelling of 2122050114000 in words is "two trillion, one hundred twenty-two billion, fifty million, one hundred fourteen thousand".