114120341214000 has 320 divisors, whose sum is σ = 402970763220480. Its totient is φ = 27555312000000.

The previous prime is 114120341213987. The next prime is 114120341214013. The reversal of 114120341214000 is 412143021411.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (114120341213987) and next prime (114120341214013).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 13121586 + ... + 20010414.

It is an arithmetic number, because the mean of its divisors is an integer number (1259283635064).

Almost surely, 2^{114120341214000} is an apocalyptic number.

114120341214000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114120341214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201485381610240).

114120341214000 is an abundant number, since it is smaller than the sum of its proper divisors (288850422006480).

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

114120341214000 is a wasteful number, since it uses less digits than its factorization.

114120341214000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6889117 (or 6889101 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 114120341214000 its reverse (412143021411), we get a palindrome (114532484235411).

The spelling of 114120341214000 in words is "one hundred fourteen trillion, one hundred twenty billion, three hundred forty-one million, two hundred fourteen thousand".