11200121140 has 48 divisors (see below), whose sum is σ = 26662648320. Its totient is φ = 3917773440.

The previous prime is 11200121137. The next prime is 11200121143. The reversal of 11200121140 is 4112100211.

It is an interprime number because it is at equal distance from previous prime (11200121137) and next prime (11200121143).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 11200121140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11200121143) 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, 1128676 + ... + 1138555.

It is an arithmetic number, because the mean of its divisors is an integer number (555471840).

Almost surely, 2^11200121140 is an apocalyptic number.

11200121140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11200121140 is an abundant number, since it is smaller than the sum of its proper divisors (15462527180).

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

11200121140 is a wasteful number, since it uses less digits than its factorization.

11200121140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2267272 (or 2267270 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 11200121140 its reverse (4112100211), we get a palindrome (15312221351).

The spelling of 11200121140 in words is "eleven billion, two hundred million, one hundred twenty-one thousand, one hundred forty".