122211221220072 has 96 divisors (see below), whose sum is σ = 347266858498560. Its totient is φ = 38776696272000.

The previous prime is 122211221219957. The next prime is 122211221220073. The reversal of 122211221220072 is 270022122112221.

122211221220072 is a `hidden beast` number, since 1 + 2 + 2 + 211 + 221 + 220 + 0 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (122211221220073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 448668204 + ... + 448940507.

It is an arithmetic number, because the mean of its divisors is an integer number (3617363109360).

Almost surely, 2^{122211221220072} is an apocalyptic number.

122211221220072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122211221220072 is an abundant number, since it is smaller than the sum of its proper divisors (225055637278488).

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

122211221220072 is a wasteful number, since it uses less digits than its factorization.

122211221220072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897608815 (or 897608808 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

Adding to 122211221220072 its reverse (270022122112221), we get a palindrome (392233343332293).

The spelling of 122211221220072 in words is "one hundred twenty-two trillion, two hundred eleven billion, two hundred twenty-one million, two hundred twenty thousand, seventy-two".