2114132000123 has 64 divisors (see below), whose sum is σ = 2556602625024. Its totient is φ = 1723023360000.

The previous prime is 2114132000117. The next prime is 2114132000153. The reversal of 2114132000123 is 3210002314112.

It is a cyclic number.

It is not a de Polignac number, because 2114132000123 - 2¹² = 2114131996027 is a prime.

It is a super-2 number, since 2×2114132000123² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2114132000095 and 2114132000104.

It is not an unprimeable number, because it can be changed into a prime (2114132000153) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 173839163 + ... + 173851323.

It is an arithmetic number, because the mean of its divisors is an integer number (39946916016).

Almost surely, 2^{2114132000123} is an apocalyptic number.

2114132000123 is a deficient number, since it is larger than the sum of its proper divisors (442470624901).

2114132000123 is a wasteful number, since it uses less digits than its factorization.

2114132000123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12516.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 2114132000123 its reverse (3210002314112), we get a palindrome (5324134314235).

The spelling of 2114132000123 in words is "two trillion, one hundred fourteen billion, one hundred thirty-two million, one hundred twenty-three", and thus it is an aban number.