242412100000 has 144 divisors (see below), whose sum is σ = 681742365696. Its totient is φ = 83112480000.

The previous prime is 242412099997. The next prime is 242412100003. The reversal of 242412100000 is 1214242.

It is an interprime number because it is at equal distance from previous prime (242412099997) and next prime (242412100003).

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

It is not an unprimeable number, because it can be changed into a prime (242412100003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 526849 + ... + 873151.

It is an arithmetic number, because the mean of its divisors is an integer number (4734321984).

Almost surely, 2^242412100000 is an apocalyptic number.

242412100000 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 242412100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340871182848).

242412100000 is an abundant number, since it is smaller than the sum of its proper divisors (439330265696).

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

242412100000 is an frugal number, since it uses more digits than its factorization.

242412100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346345 (or 346317 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 242412100000 its reverse (1214242), we get a palindrome (242413314242).

The spelling of 242412100000 in words is "two hundred forty-two billion, four hundred twelve million, one hundred thousand".