11011211001120 has 96 divisors (see below), whose sum is σ = 37838525094720. Its totient is φ = 2669384483840.

The previous prime is 11011211001107. The next prime is 11011211001121. The reversal of 11011211001120 is 2110011211011.

11011211001120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×11011211001120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11011211001096 and 11011211001105.

It is not an unprimeable number, because it can be changed into a prime (11011211001121) 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, 1042723035 + ... + 1042733594.

It is an arithmetic number, because the mean of its divisors is an integer number (394151303070).

Almost surely, 2^{11011211001120} is an apocalyptic number.

11011211001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11011211001120 is an abundant number, since it is smaller than the sum of its proper divisors (26827314093600).

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

11011211001120 is a wasteful number, since it uses less digits than its factorization.

11011211001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2085456658 (or 2085456650 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 11011211001120 its reverse (2110011211011), we get a palindrome (13121222212131).

The spelling of 11011211001120 in words is "eleven trillion, eleven billion, two hundred eleven million, one thousand, one hundred twenty".