42211200 has 96 divisors (see below), whose sum is σ = 139064760. Its totient is φ = 11253760.

The previous prime is 42211171. The next prime is 42211219. The reversal of 42211200 is 211224.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7402 + ... + 11798.

Almost surely, 2^42211200 is an apocalyptic number.

42211200 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 42211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69532380).

42211200 is an abundant number, since it is smaller than the sum of its proper divisors (96853560).

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

42211200 is a wasteful number, since it uses less digits than its factorization.

42211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4424 (or 4407 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 42211200 is about 6497.0146990753. The cubic root of 42211200 is about 348.1843388541.

Adding to 42211200 its reverse (211224), we get a palindrome (42422424).

The spelling of 42211200 in words is "forty-two million, two hundred eleven thousand, two hundred".