10122201485440 has 256 divisors, whose sum is σ = 27416396073600. Its totient is φ = 3541071790080.

The previous prime is 10122201485423. The next prime is 10122201485443. The reversal of 10122201485440 is 4458410222101.

It is a junction number, because it is equal to n+sod(n) for n = 10122201485396 and 10122201485405.

It is not an unprimeable number, because it can be changed into a prime (10122201485443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22964407 + ... + 23401033.

Almost surely, 2^{10122201485440} is an apocalyptic number.

10122201485440 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 10122201485440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13708198036800).

10122201485440 is an abundant number, since it is smaller than the sum of its proper divisors (17294194588160).

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

10122201485440 is a wasteful number, since it uses less digits than its factorization.

10122201485440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436783 (or 436771 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 34.

The spelling of 10122201485440 in words is "ten trillion, one hundred twenty-two billion, two hundred one million, four hundred eighty-five thousand, four hundred forty".