10121243444000 has 192 divisors, whose sum is σ = 27644711657472. Its totient is φ = 3616523136000.

The previous prime is 10121243443999. The next prime is 10121243444023. The reversal of 10121243444000 is 44434212101.

It is a super-2 number, since 2×10121243444000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1527344 + ... + 4751343.

It is an arithmetic number, because the mean of its divisors is an integer number (143982873216).

Almost surely, 2^{10121243444000} is an apocalyptic number.

10121243444000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121243444000 is an abundant number, since it is smaller than the sum of its proper divisors (17523468213472).

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

10121243444000 is a wasteful number, since it uses less digits than its factorization.

10121243444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6278756 (or 6278738 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 10121243444000 its reverse (44434212101), we get a palindrome (10165677656101).

The spelling of 10121243444000 in words is "ten trillion, one hundred twenty-one billion, two hundred forty-three million, four hundred forty-four thousand".