12150114000 has 160 divisors (see below), whose sum is σ = 39227310720. Its totient is φ = 3235456000.

The previous prime is 12150113971. The next prime is 12150114037. The reversal of 12150114000 is 41105121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7733215 + ... + 7734785.

It is an arithmetic number, because the mean of its divisors is an integer number (245170692).

Almost surely, 2^12150114000 is an apocalyptic number.

12150114000 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 12150114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19613655360).

12150114000 is an abundant number, since it is smaller than the sum of its proper divisors (27077196720).

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

12150114000 is a wasteful number, since it uses less digits than its factorization.

12150114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2886 (or 2870 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

Adding to 12150114000 its reverse (41105121), we get a palindrome (12191219121).

The spelling of 12150114000 in words is "twelve billion, one hundred fifty million, one hundred fourteen thousand".