10212866640000 has 1280 divisors, whose sum is σ = 39512606918400. Its totient is φ = 2591170560000.

The previous prime is 10212866639999. The next prime is 10212866640001. The reversal of 10212866640000 is 4666821201.

It is an interprime number because it is at equal distance from previous prime (10212866639999) and next prime (10212866640001).

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

It is not an unprimeable number, because it can be changed into a prime (10212866640001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 11972879574 + ... + 11972880426.

It is an arithmetic number, because the mean of its divisors is an integer number (30869224155).

Almost surely, 2^{10212866640000} is an apocalyptic number.

10212866640000 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 10212866640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19756303459200).

10212866640000 is an abundant number, since it is smaller than the sum of its proper divisors (29299740278400).

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

10212866640000 is an equidigital number, since it uses as much as digits as its factorization.

10212866640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 10212866640000 in words is "ten trillion, two hundred twelve billion, eight hundred sixty-six million, six hundred forty thousand".