202421243120 has 160 divisors (see below), whose sum is σ = 497138466816. Its totient is φ = 76536345600.

The previous prime is 202421243119. The next prime is 202421243137. The reversal of 202421243120 is 21342124202.

202421243120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×202421243120² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 70750490 + ... + 70753350.

Almost surely, 2^202421243120 is an apocalyptic number.

202421243120 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 202421243120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248569233408).

202421243120 is an abundant number, since it is smaller than the sum of its proper divisors (294717223696).

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

202421243120 is a wasteful number, since it uses less digits than its factorization.

202421243120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3559 (or 3553 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 202421243120 its reverse (21342124202), we get a palindrome (223763367322).

The spelling of 202421243120 in words is "two hundred two billion, four hundred twenty-one million, two hundred forty-three thousand, one hundred twenty".