10212344142000 has 2560 divisors, whose sum is σ = 48434899968000. Its totient is φ = 1779499008000.

The previous prime is 10212344141953. The next prime is 10212344142023. The reversal of 10212344142000 is 24144321201.

It is a super-3 number, since 3×10212344142000³ (a number of 40 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 2960956276 + ... + 2960959724.

It is an arithmetic number, because the mean of its divisors is an integer number (18919882800).

Almost surely, 2^{10212344142000} is an apocalyptic number.

10212344142000 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 10212344142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24217449984000).

10212344142000 is an abundant number, since it is smaller than the sum of its proper divisors (38222555826000).

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

10212344142000 is a wasteful number, since it uses less digits than its factorization.

10212344142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3552 (or 3536 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 10212344142000 its reverse (24144321201), we get a palindrome (10236488463201).

The spelling of 10212344142000 in words is "ten trillion, two hundred twelve billion, three hundred forty-four million, one hundred forty-two thousand".