242121402020 has 48 divisors (see below), whose sum is σ = 519341236848. Its totient is φ = 94784102400.

The previous prime is 242121402013. The next prime is 242121402037. The reversal of 242121402020 is 20204121242.

It can be written as a sum of positive squares in 8 ways, for example, as 27309545536 + 214811856484 = 165256^2 + 463478^2 .

It is a super-2 number, since 2×242121402020² (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 242121401983 and 242121402001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140252 + ... + 709868.

It is an arithmetic number, because the mean of its divisors is an integer number (10819609101).

Almost surely, 2^242121402020 is an apocalyptic number.

242121402020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242121402020 is an abundant number, since it is smaller than the sum of its proper divisors (277219834828).

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

242121402020 is a wasteful number, since it uses less digits than its factorization.

242121402020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570080 (or 570078 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 242121402020 its reverse (20204121242), we get a palindrome (262325523262).

The spelling of 242121402020 in words is "two hundred forty-two billion, one hundred twenty-one million, four hundred two thousand, twenty".