11032120201200 has 240 divisors, whose sum is σ = 41690908563456. Its totient is φ = 2440284595200.

The previous prime is 11032120201187. The next prime is 11032120201243. The reversal of 11032120201200 is 210202123011.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×11032120201200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11032120201200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20922627 + ... + 21443426.

Almost surely, 2^{11032120201200} is an apocalyptic number.

11032120201200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11032120201200 is an abundant number, since it is smaller than the sum of its proper divisors (30658788362256).

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

11032120201200 is a wasteful number, since it uses less digits than its factorization.

11032120201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42366112 (or 42366101 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 11032120201200 its reverse (210202123011), we get a palindrome (11242322324211).

The spelling of 11032120201200 in words is "eleven trillion, thirty-two billion, one hundred twenty million, two hundred one thousand, two hundred".