122011221212001 has 32 divisors (see below), whose sum is σ = 203989502563200. Its totient is φ = 71396325887040.

The previous prime is 122011221211961. The next prime is 122011221212003. The reversal of 122011221212001 is 100212122110221.

122011221212001 is a `hidden beast` number, since 1 + 220 + 1 + 1 + 221 + 21 + 200 + 1 = 666.

It is not a de Polignac number, because 122011221212001 - 2⁹ = 122011221211489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122011221212003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7082960226 + ... + 7082977451.

It is an arithmetic number, because the mean of its divisors is an integer number (6374671955100).

Almost surely, 2^{122011221212001} is an apocalyptic number.

122011221212001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122011221212001 is a deficient number, since it is larger than the sum of its proper divisors (81978281351199).

122011221212001 is a wasteful number, since it uses less digits than its factorization.

122011221212001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14165937726 (or 14165937720 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 122011221212001 its reverse (100212122110221), we get a palindrome (222223343322222).

The spelling of 122011221212001 in words is "one hundred twenty-two trillion, eleven billion, two hundred twenty-one million, two hundred twelve thousand, one".