220120002102000 has 2560 divisors, whose sum is σ = 1021163057381376. Its totient is φ = 39292729344000.

The previous prime is 220120002101981. The next prime is 220120002102017. The reversal of 220120002102000 is 201200021022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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 511 ways as a sum of consecutive naturals, for example, 5111084467 + ... + 5111127533.

Almost surely, 2^{220120002102000} is an apocalyptic number.

220120002102000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220120002102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510581528690688).

220120002102000 is an abundant number, since it is smaller than the sum of its proper divisors (801043055279376).

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

220120002102000 is a wasteful number, since it uses less digits than its factorization.

220120002102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43184 (or 43168 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 220120002102000 its reverse (201200021022), we get a palindrome (220321202123022).

The spelling of 220120002102000 in words is "two hundred twenty trillion, one hundred twenty billion, two million, one hundred two thousand".