220112021102004 has 288 divisors, whose sum is σ = 614310112346112. Its totient is φ = 68805061200000.

The previous prime is 220112021101969. The next prime is 220112021102011. The reversal of 220112021102004 is 400201120211022.

220112021102004 is a `hidden beast` number, since 220 + 11 + 20 + 211 + 0 + 200 + 4 = 666.

It is a super-4 number, since 4×220112021102004⁴ (a number of 58 digits) contains 4444 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 142267179 + ... + 143806029.

It is an arithmetic number, because the mean of its divisors is an integer number (2133021223424).

Almost surely, 2^{220112021102004} 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 220112021102004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307155056173056).

220112021102004 is an abundant number, since it is smaller than the sum of its proper divisors (394198091244108).

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

220112021102004 is a wasteful number, since it uses less digits than its factorization.

220112021102004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539049 (or 1539035 counting only the distinct ones).

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

Adding to 220112021102004 its reverse (400201120211022), we get a palindrome (620313141313026).

The spelling of 220112021102004 in words is "two hundred twenty trillion, one hundred twelve billion, twenty-one million, one hundred two thousand, four".