10122112000 has 704 divisors, whose sum is σ = 34334576640. Its totient is φ = 2875392000.

The previous prime is 10122111991. The next prime is 10122112109. The reversal of 10122112000 is 21122101.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 128127961 + ... + 128128039.

Almost surely, 2^10122112000 is an apocalyptic number.

10122112000 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 10122112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17167288320).

10122112000 is an abundant number, since it is smaller than the sum of its proper divisors (24212464640).

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

10122112000 is a wasteful number, since it uses less digits than its factorization.

10122112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10122112000 its reverse (21122101), we get a palindrome (10143234101).

The spelling of 10122112000 in words is "ten billion, one hundred twenty-two million, one hundred twelve thousand".