11151214245200 has 60 divisors (see below), whose sum is σ = 27066986052540. Its totient is φ = 4414501294080.

The previous prime is 11151214245173. The next prime is 11151214245211. The reversal of 11151214245200 is 254241215111.

It can be written as a sum of positive squares in 6 ways, for example, as 6673582864 + 11144540662336 = 81692^2 + 3338344^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 143662415 + ... + 143740014.

It is an arithmetic number, because the mean of its divisors is an integer number (451116434209).

Almost surely, 2^{11151214245200} is an apocalyptic number.

11151214245200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11151214245200 is an abundant number, since it is smaller than the sum of its proper divisors (15915771807340).

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

11151214245200 is a wasteful number, since it uses less digits than its factorization.

11151214245200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287402544 (or 287402533 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 29.

The spelling of 11151214245200 in words is "eleven trillion, one hundred fifty-one billion, two hundred fourteen million, two hundred forty-five thousand, two hundred".