11211000001120 has 96 divisors (see below), whose sum is σ = 26871330963456. Its totient is φ = 4419624384000.

The previous prime is 11211000001067. The next prime is 11211000001127. The reversal of 11211000001120 is 2110000011211.

It is a super-2 number, since 2×11211000001120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 11211000001097 and 11211000001106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11211000001127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1241425 + ... + 4895215.

It is an arithmetic number, because the mean of its divisors is an integer number (279909697536).

Almost surely, 2^{11211000001120} is an apocalyptic number.

11211000001120 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 11211000001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13435665481728).

11211000001120 is an abundant number, since it is smaller than the sum of its proper divisors (15660330962336).

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

11211000001120 is a wasteful number, since it uses less digits than its factorization.

11211000001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3654084 (or 3654076 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11211000001120 its reverse (2110000011211), we get a palindrome (13321000012331).

It can be divided in two parts, 1 and 1211000001120, that added together give a palindrome (1211000001121).

The spelling of 11211000001120 in words is "eleven trillion, two hundred eleven billion, one thousand, one hundred twenty".