42120000 has 350 divisors, whose sum is σ = 168022778. Its totient is φ = 10368000.

The previous prime is 42119993. The next prime is 42120007. The reversal of 42120000 is 2124.

It is an interprime number because it is at equal distance from previous prime (42119993) and next prime (42120007).

It can be written as a sum of positive squares in 5 ways, for example, as 24681024 + 17438976 = 4968^2 + 4176^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42120007) by changing a digit.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 3239994 + ... + 3240006.

Almost surely, 2^42120000 is an apocalyptic number.

42120000 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 42120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84011389).

42120000 is an abundant number, since it is smaller than the sum of its proper divisors (125902778).

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

42120000 is an equidigital number, since it uses as much as digits as its factorization.

42120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 23 counting only the distinct ones).

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

The square root of 42120000 is about 6489.9922958352. The cubic root of 42120000 is about 347.9333998589.

Adding to 42120000 its reverse (2124), we get a palindrome (42122124).

The spelling of 42120000 in words is "forty-two million, one hundred twenty thousand".