30150001244000 has 1152 divisors, whose sum is σ = 86090742017280. Its totient is φ = 10358599680000.

The previous prime is 30150001243991. The next prime is 30150001244017. The reversal of 30150001244000 is 44210005103.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 114638787869 + ... + 114638788131.

It is an arithmetic number, because the mean of its divisors is an integer number (74731546890).

Almost surely, 2^{30150001244000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30150001244000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43045371008640).

30150001244000 is an abundant number, since it is smaller than the sum of its proper divisors (55940740773280).

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

30150001244000 is a wasteful number, since it uses less digits than its factorization.

30150001244000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 30150001244000 its reverse (44210005103), we get a palindrome (30194211249103).

The spelling of 30150001244000 in words is "thirty trillion, one hundred fifty billion, one million, two hundred forty-four thousand".