201213424023024 has 320 divisors, whose sum is σ = 603657222036480. Its totient is φ = 56564596408320.

The previous prime is 201213424022929. The next prime is 201213424023043. The reversal of 201213424023024 is 420320424312102.

It is a junction number, because it is equal to n+sod(n) for n = 201213424022982 and 201213424023000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47244286207 + ... + 47244290465.

It is an arithmetic number, because the mean of its divisors is an integer number (1886428818864).

Almost surely, 2^{201213424023024} is an apocalyptic number.

201213424023024 is a gapful number since it is divisible by the number (24) 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 201213424023024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301828611018240).

201213424023024 is an abundant number, since it is smaller than the sum of its proper divisors (402443798013456).

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

201213424023024 is a wasteful number, since it uses less digits than its factorization.

201213424023024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8568 (or 8562 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 201213424023024 its reverse (420320424312102), we get a palindrome (621533848335126).

The spelling of 201213424023024 in words is "two hundred one trillion, two hundred thirteen billion, four hundred twenty-four million, twenty-three thousand, twenty-four".