242232122000 has 80 divisors (see below), whose sum is σ = 638964353664. Its totient is φ = 88084400000.

The previous prime is 242232121979. The next prime is 242232122003. The reversal of 242232122000 is 221232242.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is not an unprimeable number, because it can be changed into a prime (242232122003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5483276 + ... + 5527275.

Almost surely, 2^242232122000 is an apocalyptic number.

242232122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242232122000 is an abundant number, since it is smaller than the sum of its proper divisors (396732231664).

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

242232122000 is a wasteful number, since it uses less digits than its factorization.

242232122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11010585 (or 11010569 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 242232122000 its reverse (221232242), we get a palindrome (242453354242).

The spelling of 242232122000 in words is "two hundred forty-two billion, two hundred thirty-two million, one hundred twenty-two thousand".