42012900 has 54 divisors (see below), whose sum is σ = 131689922. Its totient is φ = 11203200.

The previous prime is 42012863. The next prime is 42012907. The reversal of 42012900 is 921024.

It can be written as a sum of positive squares in 3 ways, for example, as 14197824 + 27815076 = 3768^2 + 5274^2 .

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

It is not an unprimeable number, because it can be changed into a prime (42012907) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 22441 + ... + 24240.

Almost surely, 2^42012900 is an apocalyptic number.

It is an amenable number.

42012900 is an abundant number, since it is smaller than the sum of its proper divisors (89677022).

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

42012900 is a wasteful number, since it uses less digits than its factorization.

42012900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46701 (or 46691 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 42012900 is about 6481.7358786054. The cubic root of 42012900 is about 347.6382487376.

Adding to 42012900 its reverse (921024), we get a palindrome (42933924).

The spelling of 42012900 in words is "forty-two million, twelve thousand, nine hundred".