242130413221020 has 192 divisors, whose sum is σ = 755624293562880. Its totient is φ = 64368451699200.

The previous prime is 242130413221001. The next prime is 242130413221091. The reversal of 242130413221020 is 20122314031242.

242130413221020 is a `hidden beast` number, since 2 + 4 + 2 + 1 + 3 + 0 + 413 + 221 + 0 + 20 = 666.

242130413221020 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 2×242130413221020² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3044438655 + ... + 3044518185.

It is an arithmetic number, because the mean of its divisors is an integer number (3935543195640).

Almost surely, 2^{242130413221020} is an apocalyptic number.

242130413221020 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 242130413221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377812146781440).

242130413221020 is an abundant number, since it is smaller than the sum of its proper divisors (513493880341860).

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

242130413221020 is a wasteful number, since it uses less digits than its factorization.

242130413221020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96913 (or 96905 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 242130413221020 its reverse (20122314031242), we get a palindrome (262252727252262).

The spelling of 242130413221020 in words is "two hundred forty-two trillion, one hundred thirty billion, four hundred thirteen million, two hundred twenty-one thousand, twenty".