10212214656000 has 1056 divisors, whose sum is σ = 40189848192000. Its totient is φ = 2294407987200.

The previous prime is 10212214655977. The next prime is 10212214656019. The reversal of 10212214656000 is 65641221201.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1110139401 + ... + 1110148599.

Almost surely, 2^{10212214656000} is an apocalyptic number.

10212214656000 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 10212214656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20094924096000).

10212214656000 is an abundant number, since it is smaller than the sum of its proper divisors (29977633536000).

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

10212214656000 is an equidigital number, since it uses as much as digits as its factorization.

10212214656000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9310 (or 9275 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 10212214656000 its reverse (65641221201), we get a palindrome (10277855877201).

The spelling of 10212214656000 in words is "ten trillion, two hundred twelve billion, two hundred fourteen million, six hundred fifty-six thousand".