12211121011001 has 16 divisors (see below), whose sum is σ = 13346607593088. Its totient is φ = 11079875452800.

The previous prime is 12211121010967. The next prime is 12211121011003. The reversal of 12211121011001 is 10011012111221.

It is not a de Polignac number, because 12211121011001 - 2³⁸ = 11936243104057 is a prime.

It is a super-2 number, since 2×12211121011001² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12211121011003) 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, 23778716 + ... + 24286818.

It is an arithmetic number, because the mean of its divisors is an integer number (834162974568).

Almost surely, 2^{12211121011001} is an apocalyptic number.

12211121011001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12211121011001 is a deficient number, since it is larger than the sum of its proper divisors (1135486582087).

12211121011001 is a wasteful number, since it uses less digits than its factorization.

12211121011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512272.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 12211121011001 its reverse (10011012111221), we get a palindrome (22222133122222).

It can be divided in two parts, 122111 and 21011001, that added together give a palindrome (21133112).

The spelling of 12211121011001 in words is "twelve trillion, two hundred eleven billion, one hundred twenty-one million, eleven thousand, one".