122121120112211 has 16 divisors (see below), whose sum is σ = 135848314038528. Its totient is φ = 108852815532000.

The previous prime is 122121120112177. The next prime is 122121120112241. The reversal of 122121120112211 is 112211021121221.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 122121120112211 - 2¹⁴ = 122121120095827 is a prime.

It is a super-2 number, since 2×122121120112211² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122121120112241) 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, 533477801 + ... + 533706666.

It is an arithmetic number, because the mean of its divisors is an integer number (8490519627408).

Almost surely, 2^{122121120112211} is an apocalyptic number.

122121120112211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122121120112211 is a deficient number, since it is larger than the sum of its proper divisors (13727193926317).

122121120112211 is a wasteful number, since it uses less digits than its factorization.

122121120112211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067184682.

The product of its (nonzero) digits is 64, while the sum is 20.

Adding to 122121120112211 its reverse (112211021121221), we get a palindrome (234332141233432).

The spelling of 122121120112211 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, one hundred twenty million, one hundred twelve thousand, two hundred eleven".