11264012212440 has 128 divisors (see below), whose sum is σ = 36393063033600. Its totient is φ = 2772555056640.

The previous prime is 11264012212391. The next prime is 11264012212457. The reversal of 11264012212440 is 4421221046211.

It is a super-2 number, since 2×11264012212440² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11264012212398 and 11264012212407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37244151 + ... + 37545369.

It is an arithmetic number, because the mean of its divisors is an integer number (284320804950).

Almost surely, 2^{11264012212440} is an apocalyptic number.

11264012212440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11264012212440 is an abundant number, since it is smaller than the sum of its proper divisors (25129050821160).

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

11264012212440 is a wasteful number, since it uses less digits than its factorization.

11264012212440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325217 (or 325213 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 11264012212440 its reverse (4421221046211), we get a palindrome (15685233258651).

The spelling of 11264012212440 in words is "eleven trillion, two hundred sixty-four billion, twelve million, two hundred twelve thousand, four hundred forty".