242222013231000 has 512 divisors, whose sum is σ = 832912538065920. Its totient is φ = 58117741056000.

The previous prime is 242222013230999. The next prime is 242222013231089. The reversal of 242222013231000 is 132310222242.

242222013231000 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 2×242222013231000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3873475734 + ... + 3873538266.

It is an arithmetic number, because the mean of its divisors is an integer number (1626782300910).

Almost surely, 2^{242222013231000} is an apocalyptic number.

242222013231000 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 242222013231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416456269032960).

242222013231000 is an abundant number, since it is smaller than the sum of its proper divisors (590690524834920).

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

242222013231000 is a wasteful number, since it uses less digits than its factorization.

242222013231000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63772 (or 63758 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 242222013231000 its reverse (132310222242), we get a palindrome (242354323453242).

The spelling of 242222013231000 in words is "two hundred forty-two trillion, two hundred twenty-two billion, thirteen million, two hundred thirty-one thousand".