42212125032 has 256 divisors, whose sum is σ = 138664120320. Its totient is φ = 10382592000.

The previous prime is 42212125003. The next prime is 42212125091. The reversal of 42212125032 is 23052121224.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 42212124993 and 42212125011.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4287988 + ... + 4297820.

It is an arithmetic number, because the mean of its divisors is an integer number (541656720).

Almost surely, 2^42212125032 is an apocalyptic number.

42212125032 is a gapful number since it is divisible by the number (42) 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 42212125032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69332060160).

42212125032 is an abundant number, since it is smaller than the sum of its proper divisors (96451995288).

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

42212125032 is a wasteful number, since it uses less digits than its factorization.

42212125032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9984 (or 9980 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 42212125032 its reverse (23052121224), we get a palindrome (65264246256).

The spelling of 42212125032 in words is "forty-two billion, two hundred twelve million, one hundred twenty-five thousand, thirty-two".