10511322111200 has 72 divisors (see below), whose sum is σ = 25678674928368. Its totient is φ = 4201594311680.

The previous prime is 10511322111167. The next prime is 10511322111217. The reversal of 10511322111200 is 211122311501.

It is a super-2 number, since 2×10511322111200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3438092 + ... + 5730891.

It is an arithmetic number, because the mean of its divisors is an integer number (356648262894).

Almost surely, 2^{10511322111200} is an apocalyptic number.

10511322111200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10511322111200 is an abundant number, since it is smaller than the sum of its proper divisors (15167352817168).

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

10511322111200 is a wasteful number, since it uses less digits than its factorization.

10511322111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9170436 (or 9170423 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 20.

Adding to 10511322111200 its reverse (211122311501), we get a palindrome (10722444422701).

The spelling of 10511322111200 in words is "ten trillion, five hundred eleven billion, three hundred twenty-two million, one hundred eleven thousand, two hundred".