2220120432000 has 192 divisors, whose sum is σ = 7973008018560. Its totient is φ = 592032076800.

The previous prime is 2220120431983. The next prime is 2220120432007. The reversal of 2220120432000 is 2340210222.

2220120432000 is a `hidden beast` number, since 2 + 220 + 12 + 0 + 432 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220120432007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7564752 + ... + 7852751.

It is an arithmetic number, because the mean of its divisors is an integer number (41526083430).

Almost surely, 2^{2220120432000} is an apocalyptic number.

2220120432000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2220120432000 is an abundant number, since it is smaller than the sum of its proper divisors (5752887586560).

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

2220120432000 is a wasteful number, since it uses less digits than its factorization.

2220120432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15417538 (or 15417513 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 2220120432000 its reverse (2340210222), we get a palindrome (2222460642222).

The spelling of 2220120432000 in words is "two trillion, two hundred twenty billion, one hundred twenty million, four hundred thirty-two thousand".