42012133320 has 256 divisors, whose sum is σ = 135519816960. Its totient is φ = 10382016512.

The previous prime is 42012133307. The next prime is 42012133327. The reversal of 42012133320 is 2333121024.

It is not an unprimeable number, because it can be changed into a prime (42012133327) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43000672 + ... + 43001648.

It is an arithmetic number, because the mean of its divisors is an integer number (529374285).

Almost surely, 2^42012133320 is an apocalyptic number.

42012133320 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 42012133320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67759908480).

42012133320 is an abundant number, since it is smaller than the sum of its proper divisors (93507683640).

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

42012133320 is a wasteful number, since it uses less digits than its factorization.

42012133320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1312 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 42012133320 its reverse (2333121024), we get a palindrome (44345254344).

The spelling of 42012133320 in words is "forty-two billion, twelve million, one hundred thirty-three thousand, three hundred twenty".