142013212400 has 360 divisors, whose sum is σ = 372585081600. Its totient is φ = 51986188800.

The previous prime is 142013212387. The next prime is 142013212403. The reversal of 142013212400 is 4212310241.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142013212403) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 673048295 + ... + 673048505.

It is an arithmetic number, because the mean of its divisors is an integer number (1034958560).

Almost surely, 2^142013212400 is an apocalyptic number.

142013212400 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 142013212400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186292540800).

142013212400 is an abundant number, since it is smaller than the sum of its proper divisors (230571869200).

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

142013212400 is a wasteful number, since it uses less digits than its factorization.

142013212400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 142013212400 its reverse (4212310241), we get a palindrome (146225522641).

The spelling of 142013212400 in words is "one hundred forty-two billion, thirteen million, two hundred twelve thousand, four hundred".