11751012 has 144 divisors (see below), whose sum is σ = 38892672. Its totient is φ = 2903040.

The previous prime is 11751011. The next prime is 11751023. The reversal of 11751012 is 21015711.

It is a happy number.

11751012 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (11751011) 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, 55587 + ... + 55797.

It is an arithmetic number, because the mean of its divisors is an integer number (270088).

Almost surely, 2^11751012 is an apocalyptic number.

11751012 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 11751012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19446336).

11751012 is an abundant number, since it is smaller than the sum of its proper divisors (27141660).

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

11751012 is a wasteful number, since it uses less digits than its factorization.

11751012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 18.

The square root of 11751012 is about 3427.9749123936. The cubic root of 11751012 is about 227.3483238071.

Adding to 11751012 its reverse (21015711), we get a palindrome (32766723).

It can be divided in two parts, 1175 and 1012, that added together give a 7-th power (2187 = 3⁷).

The spelling of 11751012 in words is "eleven million, seven hundred fifty-one thousand, twelve".