10121442144000 has 288 divisors, whose sum is σ = 36674589369600. Its totient is φ = 2453682688000.

The previous prime is 10121442143993. The next prime is 10121442144001. The reversal of 10121442144000 is 44124412101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121442144001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3736350 + ... + 5848349.

It is an arithmetic number, because the mean of its divisors is an integer number (127342324200).

Almost surely, 2^{10121442144000} is an apocalyptic number.

10121442144000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121442144000 is an abundant number, since it is smaller than the sum of its proper divisors (26553147225600).

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

10121442144000 is an equidigital number, since it uses as much as digits as its factorization.

10121442144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9584744 (or 9584720 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 10121442144000 its reverse (44124412101), we get a palindrome (10165566556101).

The spelling of 10121442144000 in words is "ten trillion, one hundred twenty-one billion, four hundred forty-two million, one hundred forty-four thousand".