42212000 has 96 divisors (see below), whose sum is σ = 106024464. Its totient is φ = 16512000.

The previous prime is 42211927. The next prime is 42212011. The reversal of 42212000 is 21224.

It can be written as a sum of positive squares in 8 ways, for example, as 583696 + 41628304 = 764^2 + 6452^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 243914 + ... + 244086.

Almost surely, 2^42212000 is an apocalyptic number.

42212000 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 42212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53012232).

42212000 is an abundant number, since it is smaller than the sum of its proper divisors (63812464).

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

42212000 is a wasteful number, since it uses less digits than its factorization.

42212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 42212000 is about 6497.0762655213. The cubic root of 42212000 is about 348.1865384734.

Adding to 42212000 its reverse (21224), we get a palindrome (42233224).

The spelling of 42212000 in words is "forty-two million, two hundred twelve thousand".