42122010 has 64 divisors (see below), whose sum is σ = 117043200. Its totient is φ = 9502272.

The previous prime is 42121997. The next prime is 42122023. The reversal of 42122010 is 1022124.

42122010 = 109² + 110² + ... + 503².

It is an interprime number because it is at equal distance from previous prime (42121997) and next prime (42122023).

It is a super-4 number, since 4×42122010⁴ (a number of 32 digits) contains 4444 as substring.

It is a Curzon 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, 15321 + ... + 17859.

It is an arithmetic number, because the mean of its divisors is an integer number (1828800).

Almost surely, 2^42122010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42122010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58521600).

42122010 is an abundant number, since it is smaller than the sum of its proper divisors (74921190).

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

42122010 is a wasteful number, since it uses less digits than its factorization.

42122010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2635.

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

The square root of 42122010 is about 6490.1471477926. The cubic root of 42122010 is about 347.9389343240.

Adding to 42122010 its reverse (1022124), we get a palindrome (43144134).

The spelling of 42122010 in words is "forty-two million, one hundred twenty-two thousand, ten".