1214121112134 has 128 divisors (see below), whose sum is σ = 2922643814400. Its totient is φ = 328921743360.

The previous prime is 1214121112123. The next prime is 1214121112153. The reversal of 1214121112134 is 4312111214121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22197532 + ... + 22252160.

It is an arithmetic number, because the mean of its divisors is an integer number (22833154800).

Almost surely, 2^{1214121112134} is an apocalyptic number.

1214121112134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1214121112134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1461321907200).

1214121112134 is an abundant number, since it is smaller than the sum of its proper divisors (1708522702266).

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

1214121112134 is a wasteful number, since it uses less digits than its factorization.

1214121112134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54998.

The product of its digits is 384, while the sum is 24.

Adding to 1214121112134 its reverse (4312111214121), we get a palindrome (5526232326255).

The spelling of 1214121112134 in words is "one trillion, two hundred fourteen billion, one hundred twenty-one million, one hundred twelve thousand, one hundred thirty-four".