42012013200 has 60 divisors (see below), whose sum is σ = 134578486128. Its totient is φ = 11203203200.

The previous prime is 42012013193. The next prime is 42012013207. The reversal of 42012013200 is 231021024.

It is an interprime number because it is at equal distance from previous prime (42012013193) and next prime (42012013207).

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 42012013200.

It is not an unprimeable number, because it can be changed into a prime (42012013207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17503806 + ... + 17506205.

Almost surely, 2^42012013200 is an apocalyptic number.

42012013200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42012013200 is an abundant number, since it is smaller than the sum of its proper divisors (92566472928).

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

42012013200 is a wasteful number, since it uses less digits than its factorization.

42012013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35010032 (or 35010021 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 42012013200 its reverse (231021024), we get a palindrome (42243034224).

The spelling of 42012013200 in words is "forty-two billion, twelve million, thirteen thousand, two hundred".