11121215240352 has 96 divisors (see below), whose sum is σ = 33368483094912. Its totient is φ = 3177029366784.

The previous prime is 11121215240339. The next prime is 11121215240371. The reversal of 11121215240352 is 25304251212111.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3451938 + ... + 5844510.

It is an arithmetic number, because the mean of its divisors is an integer number (347588365572).

Almost surely, 2^{11121215240352} is an apocalyptic number.

11121215240352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11121215240352 is an abundant number, since it is smaller than the sum of its proper divisors (22247267854560).

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

11121215240352 is a wasteful number, since it uses less digits than its factorization.

11121215240352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2399510 (or 2399502 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

Adding to 11121215240352 its reverse (25304251212111), we get a palindrome (36425466452463).

The spelling of 11121215240352 in words is "eleven trillion, one hundred twenty-one billion, two hundred fifteen million, two hundred forty thousand, three hundred fifty-two".