11211211110120 has 64 divisors (see below), whose sum is σ = 38438438094720. Its totient is φ = 2562562539264.

The previous prime is 11211211110101. The next prime is 11211211110133. The reversal of 11211211110120 is 2101111211211.

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 11211211110120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6673339107 + ... + 6673340786.

It is an arithmetic number, because the mean of its divisors is an integer number (600600595230).

Almost surely, 2^{11211211110120} is an apocalyptic number.

11211211110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11211211110120 is an abundant number, since it is smaller than the sum of its proper divisors (27227226984600).

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

11211211110120 is a wasteful number, since it uses less digits than its factorization.

11211211110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13346679914 (or 13346679910 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 11211211110120 its reverse (2101111211211), we get a palindrome (13312322321331).

The spelling of 11211211110120 in words is "eleven trillion, two hundred eleven billion, two hundred eleven million, one hundred ten thousand, one hundred twenty".