142212304080 has 720 divisors, whose sum is σ = 625681525248. Its totient is φ = 28594944000.

The previous prime is 142212304009. The next prime is 142212304099. The reversal of 142212304080 is 80403212241.

142212304080 is a `hidden beast` number, since 1 + 4 + 2 + 21 + 230 + 408 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12024570 + ... + 12036390.

Almost surely, 2^142212304080 is an apocalyptic number.

142212304080 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 142212304080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312840762624).

142212304080 is an abundant number, since it is smaller than the sum of its proper divisors (483469221168).

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

142212304080 is a wasteful number, since it uses less digits than its factorization.

142212304080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11896 (or 11880 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 142212304080 in words is "one hundred forty-two billion, two hundred twelve million, three hundred four thousand, eighty".