12114152413104 has 160 divisors (see below), whose sum is σ = 35958235668480. Its totient is φ = 3442549017600.

The previous prime is 12114152413061. The next prime is 12114152413127. The reversal of 12114152413104 is 40131425141121.

It is a super-3 number, since 3×12114152413104³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 691872702 + ... + 691890210.

It is an arithmetic number, because the mean of its divisors is an integer number (224738972928).

Almost surely, 2^{12114152413104} is an apocalyptic number.

12114152413104 is a gapful number since it is divisible by the number (14) 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 12114152413104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17979117834240).

12114152413104 is an abundant number, since it is smaller than the sum of its proper divisors (23844083255376).

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

12114152413104 is a wasteful number, since it uses less digits than its factorization.

12114152413104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28499 (or 28493 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

Adding to 12114152413104 its reverse (40131425141121), we get a palindrome (52245577554225).

The spelling of 12114152413104 in words is "twelve trillion, one hundred fourteen billion, one hundred fifty-two million, four hundred thirteen thousand, one hundred four".