121214230114000 has 80 divisors (see below), whose sum is σ = 305839313245440. Its totient is φ = 46377618460800.

The previous prime is 121214230113973. The next prime is 121214230114001. The reversal of 121214230114000 is 411032412121.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121214230114001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1317499980 + ... + 1317591979.

It is an arithmetic number, because the mean of its divisors is an integer number (3822991415568).

Almost surely, 2^{121214230114000} is an apocalyptic number.

121214230114000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121214230114000 is an abundant number, since it is smaller than the sum of its proper divisors (184625083131440).

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

121214230114000 is a wasteful number, since it uses less digits than its factorization.

121214230114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2635092005 (or 2635091989 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 121214230114000 its reverse (411032412121), we get a palindrome (121625262526121).

The spelling of 121214230114000 in words is "one hundred twenty-one trillion, two hundred fourteen billion, two hundred thirty million, one hundred fourteen thousand".