1424142121200 has 240 divisors, whose sum is σ = 4689919096800. Its totient is φ = 369142824960.

The previous prime is 1424142121081. The next prime is 1424142121219. The reversal of 1424142121200 is 21212414241.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 46560312 + ... + 46590888.

It is an arithmetic number, because the mean of its divisors is an integer number (19541329570).

Almost surely, 2^{1424142121200} is an apocalyptic number.

1424142121200 is a gapful number since it is divisible by the number (10) 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 1424142121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2344959548400).

1424142121200 is an abundant number, since it is smaller than the sum of its proper divisors (3265776975600).

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

1424142121200 is a wasteful number, since it uses less digits than its factorization.

1424142121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31684 (or 31673 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 1424142121200 its reverse (21212414241), we get a palindrome (1445354535441).

The spelling of 1424142121200 in words is "one trillion, four hundred twenty-four billion, one hundred forty-two million, one hundred twenty-one thousand, two hundred".