42212421200 has 120 divisors (see below), whose sum is σ = 108489665592. Its totient is φ = 15727656960.

The previous prime is 42212421197. The next prime is 42212421211. The reversal of 42212421200 is 212421224.

It can be written as a sum of positive squares in 12 ways, for example, as 2687800336 + 39524620864 = 51844^2 + 198808^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 627602 + ... + 691598.

Almost surely, 2^42212421200 is an apocalyptic number.

42212421200 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 42212421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54244832796).

42212421200 is an abundant number, since it is smaller than the sum of its proper divisors (66277244392).

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

42212421200 is a wasteful number, since it uses less digits than its factorization.

42212421200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64129 (or 64118 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 42212421200 its reverse (212421224), we get a palindrome (42424842424).

The spelling of 42212421200 in words is "forty-two billion, two hundred twelve million, four hundred twenty-one thousand, two hundred".