10456122000 has 320 divisors, whose sum is σ = 37253758464. Its totient is φ = 2509619200.

The previous prime is 10456121993. The next prime is 10456122011. The reversal of 10456122000 is 22165401.

10456122000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2343772 + ... + 2348228.

Almost surely, 2^10456122000 is an apocalyptic number.

10456122000 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 10456122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18626879232).

10456122000 is an abundant number, since it is smaller than the sum of its proper divisors (26797636464).

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

10456122000 is a wasteful number, since it uses less digits than its factorization.

10456122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4523 (or 4507 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 10456122000 its reverse (22165401), we get a palindrome (10478287401).

The spelling of 10456122000 in words is "ten billion, four hundred fifty-six million, one hundred twenty-two thousand".