11213012114240 has 112 divisors (see below), whose sum is σ = 27011221923600. Its totient is φ = 4433129766912.

The previous prime is 11213012114233. The next prime is 11213012114243. The reversal of 11213012114240 is 4241121031211.

It can be written as a sum of positive squares in 8 ways, for example, as 1162894797376 + 10050117316864 = 1078376^2 + 3170192^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11213012114243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76509512 + ... + 76655928.

Almost surely, 2^{11213012114240} is an apocalyptic number.

11213012114240 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 11213012114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13505610961800).

11213012114240 is an abundant number, since it is smaller than the sum of its proper divisors (15798209809360).

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

11213012114240 is a wasteful number, since it uses less digits than its factorization.

11213012114240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149212 (or 149202 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

Adding to 11213012114240 its reverse (4241121031211), we get a palindrome (15454133145451).

The spelling of 11213012114240 in words is "eleven trillion, two hundred thirteen billion, twelve million, one hundred fourteen thousand, two hundred forty".