242212242400 has 72 divisors (see below), whose sum is σ = 591372071640. Its totient is φ = 96873192960.

The previous prime is 242212242361. The next prime is 242212242427. The reversal of 242212242400 is 4242212242.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10115242 + ... + 10139158.

It is an arithmetic number, because the mean of its divisors is an integer number (8213500995).

Almost surely, 2^242212242400 is an apocalyptic number.

242212242400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242212242400 is an abundant number, since it is smaller than the sum of its proper divisors (349159829240).

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

242212242400 is a wasteful number, since it uses less digits than its factorization.

242212242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36596 (or 36583 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 242212242400 its reverse (4242212242), we get a palindrome (246454454642).

The spelling of 242212242400 in words is "two hundred forty-two billion, two hundred twelve million, two hundred forty-two thousand, four hundred".