121002112022004 has 144 divisors (see below), whose sum is σ = 328270846176000. Its totient is φ = 37445176424448.

The previous prime is 121002112021997. The next prime is 121002112022017. The reversal of 121002112022004 is 400220211200121.

121002112022004 is a `hidden beast` number, since 1 + 210 + 0 + 211 + 20 + 220 + 0 + 4 = 666.

It is a super-2 number, since 2×121002112022004² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49524139 + ... + 51909965.

It is an arithmetic number, because the mean of its divisors is an integer number (2279658654000).

Almost surely, 2^{121002112022004} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121002112022004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164135423088000).

121002112022004 is an abundant number, since it is smaller than the sum of its proper divisors (207268734153996).

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

121002112022004 is a wasteful number, since it uses less digits than its factorization.

121002112022004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2386982 (or 2386977 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 121002112022004 its reverse (400220211200121), we get a palindrome (521222323222125).

The spelling of 121002112022004 in words is "one hundred twenty-one trillion, two billion, one hundred twelve million, twenty-two thousand, four".