11251012032 has 336 divisors, whose sum is σ = 37751633920. Its totient is φ = 3172608000.

The previous prime is 11251011997. The next prime is 11251012037. The reversal of 11251012032 is 23021015211.

11251012032 is a `hidden beast` number, since 1 + 1 + 2 + 510 + 120 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11251011996 and 11251012014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11251012037) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4409157 + ... + 4411707.

Almost surely, 2^11251012032 is an apocalyptic number.

11251012032 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 11251012032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18875816960).

11251012032 is an abundant number, since it is smaller than the sum of its proper divisors (26500621888).

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

11251012032 is a wasteful number, since it uses less digits than its factorization.

11251012032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2632 (or 2619 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 11251012032 its reverse (23021015211), we get a palindrome (34272027243).

The spelling of 11251012032 in words is "eleven billion, two hundred fifty-one million, twelve thousand, thirty-two".