10122311200 has 72 divisors (see below), whose sum is σ = 24736416768. Its totient is φ = 4044775680.

The previous prime is 10122311197. The next prime is 10122311209. The reversal of 10122311200 is 211322101.

It is a super-2 number, since 2×10122311200² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10122311209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 844449 + ... + 856351.

It is an arithmetic number, because the mean of its divisors is an integer number (343561344).

Almost surely, 2^10122311200 is an apocalyptic number.

10122311200 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 10122311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12368208384).

10122311200 is an abundant number, since it is smaller than the sum of its proper divisors (14614105568).

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

10122311200 is a wasteful number, since it uses less digits than its factorization.

10122311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12986 (or 12973 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10122311200 its reverse (211322101), we get a palindrome (10333633301).

The spelling of 10122311200 in words is "ten billion, one hundred twenty-two million, three hundred eleven thousand, two hundred".