42121221300 has 216 divisors, whose sum is σ = 139971791232. Its totient is φ = 10558080000.

The previous prime is 42121221287. The next prime is 42121221349. The reversal of 42121221300 is 312212124.

It is a happy number.

42121221300 is a `hidden beast` number, since 421 + 21 + 221 + 3 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17915125 + ... + 17917475.

It is an arithmetic number, because the mean of its divisors is an integer number (648017552).

Almost surely, 2^42121221300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42121221300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69985895616).

42121221300 is an abundant number, since it is smaller than the sum of its proper divisors (97850569932).

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

42121221300 is a wasteful number, since it uses less digits than its factorization.

42121221300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3559 (or 3549 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 42121221300 its reverse (312212124), we get a palindrome (42433433424).

The spelling of 42121221300 in words is "forty-two billion, one hundred twenty-one million, two hundred twenty-one thousand, three hundred".