201324100412000 has 192 divisors, whose sum is σ = 495198054973440. Its totient is φ = 80441000640000.

The previous prime is 201324100411961. The next prime is 201324100412021. The reversal of 201324100412000 is 214001423102.

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 31 ways as a sum of consecutive naturals, for example, 30731808725 + ... + 30731815275.

It is an arithmetic number, because the mean of its divisors is an integer number (2579156536320).

Almost surely, 2^{201324100412000} is an apocalyptic number.

201324100412000 is a gapful number since it is divisible by the number (20) 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 201324100412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247599027486720).

201324100412000 is an abundant number, since it is smaller than the sum of its proper divisors (293873954561440).

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

201324100412000 is a wasteful number, since it uses less digits than its factorization.

201324100412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13862 (or 13844 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 201324100412000 its reverse (214001423102), we get a palindrome (201538101835102).

The spelling of 201324100412000 in words is "two hundred one trillion, three hundred twenty-four billion, one hundred million, four hundred twelve thousand".