242132124400 has 120 divisors (see below), whose sum is σ = 609401620800. Its totient is φ = 92329036800.

The previous prime is 242132124389. The next prime is 242132124401. The reversal of 242132124400 is 4421231242.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242132124401) 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, 784290 + ... + 1048510.

It is an arithmetic number, because the mean of its divisors is an integer number (5078346840).

Almost surely, 2^242132124400 is an apocalyptic number.

242132124400 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 242132124400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304700810400).

242132124400 is an abundant number, since it is smaller than the sum of its proper divisors (367269496400).

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

242132124400 is a wasteful number, since it uses less digits than its factorization.

242132124400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264347 (or 264336 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 242132124400 its reverse (4421231242), we get a palindrome (246553355642).

The spelling of 242132124400 in words is "two hundred forty-two billion, one hundred thirty-two million, one hundred twenty-four thousand, four hundred".