10122001512 has 128 divisors (see below), whose sum is σ = 29678668800. Its totient is φ = 2816529408.

The previous prime is 10122001493. The next prime is 10122001517. The reversal of 10122001512 is 21510022101.

10122001512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10122001512² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10122001491 and 10122001500.

It is not an unprimeable number, because it can be changed into a prime (10122001517) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2736048 + ... + 2739744.

It is an arithmetic number, because the mean of its divisors is an integer number (231864600).

Almost surely, 2^10122001512 is an apocalyptic number.

10122001512 is a gapful number since it is divisible by the number (12) 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 10122001512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14839334400).

10122001512 is an abundant number, since it is smaller than the sum of its proper divisors (19556667288).

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

10122001512 is a wasteful number, since it uses less digits than its factorization.

10122001512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4135 (or 4131 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

Adding to 10122001512 its reverse (21510022101), we get a palindrome (31632023613).

The spelling of 10122001512 in words is "ten billion, one hundred twenty-two million, one thousand, five hundred twelve".