15150014120000 has 280 divisors, whose sum is σ = 39395112497400. Its totient is φ = 5770856448000.

The previous prime is 15150014119967. The next prime is 15150014120183. The reversal of 15150014120000 is 2141005151.

It can be written as a sum of positive squares in 20 ways, for example, as 14185045820416 + 964968299584 = 3766304^2 + 982328^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 84590546 + ... + 84769454.

Almost surely, 2^{15150014120000} is an apocalyptic number.

15150014120000 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 15150014120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19697556248700).

15150014120000 is an abundant number, since it is smaller than the sum of its proper divisors (24245098377400).

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

15150014120000 is an equidigital number, since it uses as much as digits as its factorization.

15150014120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179043 (or 179018 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 20.

Adding to 15150014120000 its reverse (2141005151), we get a palindrome (15152155125151).

The spelling of 15150014120000 in words is "fifteen trillion, one hundred fifty billion, fourteen million, one hundred twenty thousand".