102442402412000 has 384 divisors, whose sum is σ = 290603846437632. Its totient is φ = 34763688960000.

The previous prime is 102442402411969. The next prime is 102442402412003. The reversal of 102442402412000 is 214204244201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102442402412003) 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, 14810232542 + ... + 14810239458.

It is an arithmetic number, because the mean of its divisors is an integer number (756780850098).

Almost surely, 2^{102442402412000} is an apocalyptic number.

102442402412000 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 102442402412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145301923218816).

102442402412000 is an abundant number, since it is smaller than the sum of its proper divisors (188161444025632).

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

102442402412000 is a wasteful number, since it uses less digits than its factorization.

102442402412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12287 (or 12269 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 102442402412000 its reverse (214204244201), we get a palindrome (102656606656201).

The spelling of 102442402412000 in words is "one hundred two trillion, four hundred forty-two billion, four hundred two million, four hundred twelve thousand".