42212016000 has 1792 divisors, whose sum is σ = 200353720320. Its totient is φ = 8584704000.

The previous prime is 42212015983. The next prime is 42212016017. The reversal of 42212016000 is 61021224.

42212016000 is a `hidden beast` number, since 42 + 2 + 1 + 20 + 1 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (42212015983) and next prime (42212016017).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 898127977 + ... + 898128023.

Almost surely, 2^42212016000 is an apocalyptic number.

42212016000 is a gapful number since it is divisible by the number (40) 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 42212016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100176860160).

42212016000 is an abundant number, since it is smaller than the sum of its proper divisors (158141704320).

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

42212016000 is an equidigital number, since it uses as much as digits as its factorization.

42212016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 42212016000 its reverse (61021224), we get a palindrome (42273037224).

The spelling of 42212016000 in words is "forty-two billion, two hundred twelve million, sixteen thousand".