1242102014200 has 96 divisors (see below), whose sum is σ = 3014588527200. Its totient is φ = 475059087360.

The previous prime is 1242102014143. The next prime is 1242102014201. The reversal of 1242102014200 is 24102012421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1242102014201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12430036 + ... + 12529564.

It is an arithmetic number, because the mean of its divisors is an integer number (31401963825).

Almost surely, 2^{1242102014200} is an apocalyptic number.

1242102014200 is a gapful number since it is divisible by the number (10) 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 1242102014200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1507294263600).

1242102014200 is an abundant number, since it is smaller than the sum of its proper divisors (1772486513000).

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

1242102014200 is a wasteful number, since it uses less digits than its factorization.

1242102014200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102281 (or 102272 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 1242102014200 its reverse (24102012421), we get a palindrome (1266204026621).

The spelling of 1242102014200 in words is "one trillion, two hundred forty-two billion, one hundred two million, fourteen thousand, two hundred".