150212200320 has 768 divisors, whose sum is σ = 672046502400. Its totient is φ = 30023073792.

The previous prime is 150212200297. The next prime is 150212200321. The reversal of 150212200320 is 23002212051.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 150212200293 and 150212200302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150212200321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9951499 + ... + 9966581.

It is an arithmetic number, because the mean of its divisors is an integer number (875060550).

Almost surely, 2^150212200320 is an apocalyptic number.

150212200320 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 150212200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336023251200).

150212200320 is an abundant number, since it is smaller than the sum of its proper divisors (521834302080).

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

150212200320 is a wasteful number, since it uses less digits than its factorization.

150212200320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15147 (or 15132 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 150212200320 its reverse (23002212051), we get a palindrome (173214412371).

The spelling of 150212200320 in words is "one hundred fifty billion, two hundred twelve million, two hundred thousand, three hundred twenty".