11200456512 has 168 divisors, whose sum is σ = 36803722176. Its totient is φ = 3190247424.

The previous prime is 11200456507. The next prime is 11200456541. The reversal of 11200456512 is 21565400211.

11200456512 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 0 + 4 + 5 + 651 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×11200456512² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1354663 + ... + 1362905.

Almost surely, 2^11200456512 is an apocalyptic number.

11200456512 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 11200456512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18401861088).

11200456512 is an abundant number, since it is smaller than the sum of its proper divisors (25603265664).

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

11200456512 is a wasteful number, since it uses less digits than its factorization.

11200456512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8605 (or 8592 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 11200456512 its reverse (21565400211), we get a palindrome (32765856723).

The spelling of 11200456512 in words is "eleven billion, two hundred million, four hundred fifty-six thousand, five hundred twelve".