2114123514000 has 80 divisors (see below), whose sum is σ = 6815934228480. Its totient is φ = 563766268800.

The previous prime is 2114123513993. The next prime is 2114123514001. The reversal of 2114123514000 is 4153214112.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2114123514001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176170960 + ... + 176182959.

It is an arithmetic number, because the mean of its divisors is an integer number (85199177856).

Almost surely, 2^{2114123514000} is an apocalyptic number.

2114123514000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2114123514000 is an abundant number, since it is smaller than the sum of its proper divisors (4701810714480).

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

2114123514000 is a wasteful number, since it uses less digits than its factorization.

2114123514000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352353945 (or 352353929 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 2114123514000 its reverse (4153214112), we get a palindrome (2118276728112).

The spelling of 2114123514000 in words is "two trillion, one hundred fourteen billion, one hundred twenty-three million, five hundred fourteen thousand".