114120544332000 has 768 divisors, whose sum is σ = 407098645873920. Its totient is φ = 27830255616000.

The previous prime is 114120544331993. The next prime is 114120544332001. The reversal of 114120544332000 is 233445021411.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114120544332001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5804402170 + ... + 5804421830.

It is an arithmetic number, because the mean of its divisors is an integer number (530076361815).

Almost surely, 2^{114120544332000} is an apocalyptic number.

114120544332000 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 114120544332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203549322936960).

114120544332000 is an abundant number, since it is smaller than the sum of its proper divisors (292978101541920).

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

114120544332000 is a wasteful number, since it uses less digits than its factorization.

114120544332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20512 (or 20494 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 114120544332000 its reverse (233445021411), we get a palindrome (114353989353411).

The spelling of 114120544332000 in words is "one hundred fourteen trillion, one hundred twenty billion, five hundred forty-four million, three hundred thirty-two thousand".