2114400012 has 96 divisors (see below), whose sum is σ = 5256136704. Its totient is φ = 660441600.

The previous prime is 2114399993. The next prime is 2114400031. The reversal of 2114400012 is 2100044112.

It is an interprime number because it is at equal distance from previous prime (2114399993) and next prime (2114400031).

It is a junction number, because it is equal to n+sod(n) for n = 2114399964 and 2114400000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2394123 + ... + 2395005.

It is an arithmetic number, because the mean of its divisors is an integer number (54751424).

Almost surely, 2^2114400012 is an apocalyptic number.

It is an amenable number.

2114400012 is an abundant number, since it is smaller than the sum of its proper divisors (3141736692).

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

2114400012 is a wasteful number, since it uses less digits than its factorization.

2114400012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2114400012 is about 45982.6055373116. The cubic root of 2114400012 is about 1283.4995405054.

Adding to 2114400012 its reverse (2100044112), we get a palindrome (4214444124).

The spelling of 2114400012 in words is "two billion, one hundred fourteen million, four hundred thousand, twelve".