242153041213412 has 96 divisors (see below), whose sum is σ = 505950920428800. Its totient is φ = 99213599181312.

The previous prime is 242153041213397. The next prime is 242153041213423. The reversal of 242153041213412 is 214312140351242.

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 31 ways as a sum of consecutive naturals, for example, 127660643 + ... + 129543605.

It is an arithmetic number, because the mean of its divisors is an integer number (5270322087800).

Almost surely, 2^{242153041213412} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242153041213412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252975460214400).

242153041213412 is an abundant number, since it is smaller than the sum of its proper divisors (263797879215388).

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

242153041213412 is a wasteful number, since it uses less digits than its factorization.

242153041213412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1884565 (or 1884563 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

Adding to 242153041213412 its reverse (214312140351242), we get a palindrome (456465181564654).

The spelling of 242153041213412 in words is "two hundred forty-two trillion, one hundred fifty-three billion, forty-one million, two hundred thirteen thousand, four hundred twelve".