42012331200 has 504 divisors, whose sum is σ = 180699229152. Its totient is φ = 9037578240.

The previous prime is 42012331199. The next prime is 42012331243. The reversal of 42012331200 is 213321024.

42012331200 is a `hidden beast` number, since 420 + 1 + 233 + 12 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1701342 + ... + 1725858.

Almost surely, 2^42012331200 is an apocalyptic number.

42012331200 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 42012331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90349614576).

42012331200 is an abundant number, since it is smaller than the sum of its proper divisors (138686897952).

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

42012331200 is a wasteful number, since it uses less digits than its factorization.

42012331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24569 (or 24551 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 42012331200 its reverse (213321024), we get a palindrome (42225652224).

The spelling of 42012331200 in words is "forty-two billion, twelve million, three hundred thirty-one thousand, two hundred".