214123114000 has 40 divisors (see below), whose sum is σ = 517749694488. Its totient is φ = 85649244800.

The previous prime is 214123113989. The next prime is 214123114003. The reversal of 214123114000 is 411321412.

214123114000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 897122304 + 213225991696 = 29952^2 + 461764^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (214123114003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53528779 + ... + 53532778.

Almost surely, 2^214123114000 is an apocalyptic number.

214123114000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214123114000 is an abundant number, since it is smaller than the sum of its proper divisors (303626580488).

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

214123114000 is a wasteful number, since it uses less digits than its factorization.

214123114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107061580 (or 107061564 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 214123114000 its reverse (411321412), we get a palindrome (214534435412).

The spelling of 214123114000 in words is "two hundred fourteen billion, one hundred twenty-three million, one hundred fourteen thousand".