42012000 has 192 divisors, whose sum is σ = 153316800. Its totient is φ = 11174400.

The previous prime is 42011993. The next prime is 42012017. The reversal of 42012000 is 21024.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107806 + ... + 108194.

It is an arithmetic number, because the mean of its divisors is an integer number (798525).

Almost surely, 2^42012000 is an apocalyptic number.

42012000 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 42012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76658400).

42012000 is an abundant number, since it is smaller than the sum of its proper divisors (111304800).

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

42012000 is a wasteful number, since it uses less digits than its factorization.

42012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 42012000 is about 6481.6664523871. Note that the first 3 decimals coincide. The cubic root of 42012000 is about 347.6357663520.

Adding to 42012000 its reverse (21024), we get a palindrome (42033024).

The spelling of 42012000 in words is "forty-two million, twelve thousand".