10214133641712 has 480 divisors, whose sum is σ = 38389688902656. Its totient is φ = 2448349286400.

The previous prime is 10214133641687. The next prime is 10214133641729. The reversal of 10214133641712 is 21714633141201.

10214133641712 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 4 + 1 + 3 + 3 + 641 + 7 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 990408268 + ... + 990418580.

Almost surely, 2^{10214133641712} is an apocalyptic number.

10214133641712 is a gapful number since it is divisible by the number (12) 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 10214133641712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19194844451328).

10214133641712 is an abundant number, since it is smaller than the sum of its proper divisors (28175555260944).

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

10214133641712 is a wasteful number, since it uses less digits than its factorization.

10214133641712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17229 (or 17220 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Adding to 10214133641712 its reverse (21714633141201), we get a palindrome (31928766782913).

The spelling of 10214133641712 in words is "ten trillion, two hundred fourteen billion, one hundred thirty-three million, six hundred forty-one thousand, seven hundred twelve".