242103022000 has 240 divisors, whose sum is σ = 692162172000. Its totient is φ = 81643968000.

The previous prime is 242103021989. The next prime is 242103022067. The reversal of 242103022000 is 220301242.

It is a super-2 number, since 2×242103022000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5957751 + ... + 5998249.

It is an arithmetic number, because the mean of its divisors is an integer number (2884009050).

Almost surely, 2^242103022000 is an apocalyptic number.

242103022000 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 242103022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346081086000).

242103022000 is an abundant number, since it is smaller than the sum of its proper divisors (450059150000).

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

242103022000 is a wasteful number, since it uses less digits than its factorization.

242103022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40597 (or 40574 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 242103022000 its reverse (220301242), we get a palindrome (242323323242).

The spelling of 242103022000 in words is "two hundred forty-two billion, one hundred three million, twenty-two thousand".