12114741120 has 128 divisors (see below), whose sum is σ = 38847997440. Its totient is φ = 3211167744.

The previous prime is 12114741109. The next prime is 12114741137. The reversal of 12114741120 is 2114741121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 301749 + ... + 339531.

It is an arithmetic number, because the mean of its divisors is an integer number (303499980).

Almost surely, 2^12114741120 is an apocalyptic number.

12114741120 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 12114741120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19423998720).

12114741120 is an abundant number, since it is smaller than the sum of its proper divisors (26733256320).

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

12114741120 is a wasteful number, since it uses less digits than its factorization.

12114741120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37972 (or 37960 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

Subtracting from 12114741120 its reverse (2114741121), we obtain a palindrome (9999999999).

The spelling of 12114741120 in words is "twelve billion, one hundred fourteen million, seven hundred forty-one thousand, one hundred twenty".