20121122211984 has 40 divisors (see below), whose sum is σ = 57755073017120. Its totient is φ = 6707040737184.

The previous prime is 20121122211877. The next prime is 20121122212021. The reversal of 20121122211984 is 48911222112102.

20121122211984 is a `hidden beast` number, since 201 + 211 + 2 + 221 + 19 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23288335462 + ... + 23288336325.

It is an arithmetic number, because the mean of its divisors is an integer number (1443876825428).

Almost surely, 2^{20121122211984} is an apocalyptic number.

20121122211984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20121122211984 is an abundant number, since it is smaller than the sum of its proper divisors (37633950805136).

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

20121122211984 is a wasteful number, since it uses less digits than its factorization.

20121122211984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46576671804 (or 46576671792 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 20121122211984 in words is "twenty trillion, one hundred twenty-one billion, one hundred twenty-two million, two hundred eleven thousand, nine hundred eighty-four".