10511224000000 has 280 divisors, whose sum is σ = 27157904718120. Its totient is φ = 4059417600000.

The previous prime is 10511223999959. The next prime is 10511224000019. The reversal of 10511224000000 is 42211501.

It is a super-2 number, since 2×10511224000000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 231977347 + ... + 232022653.

Almost surely, 2^{10511224000000} is an apocalyptic number.

10511224000000 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 10511224000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13578952359060).

10511224000000 is an abundant number, since it is smaller than the sum of its proper divisors (16646680718120).

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

10511224000000 is an frugal number, since it uses more digits than its factorization.

10511224000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45384 (or 45343 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

Adding to 10511224000000 its reverse (42211501), we get a palindrome (10511266211501).

The spelling of 10511224000000 in words is "ten trillion, five hundred eleven billion, two hundred twenty-four million", and thus it is an aban number.