142112121324000 has 384 divisors, whose sum is σ = 472122186786432. Its totient is φ = 37362755174400.

The previous prime is 142112121323971. The next prime is 142112121324037. The reversal of 142112121324000 is 423121211241.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2327501472 + ... + 2327562528.

It is an arithmetic number, because the mean of its divisors is an integer number (1229484861423).

Almost surely, 2^{142112121324000} is an apocalyptic number.

142112121324000 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 142112121324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236061093393216).

142112121324000 is an abundant number, since it is smaller than the sum of its proper divisors (330010065462432).

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

142112121324000 is a wasteful number, since it uses less digits than its factorization.

142112121324000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63815 (or 63797 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 142112121324000 its reverse (423121211241), we get a palindrome (142535242535241).

The spelling of 142112121324000 in words is "one hundred forty-two trillion, one hundred twelve billion, one hundred twenty-one million, three hundred twenty-four thousand".