220120012011200 has 336 divisors, whose sum is σ = 633043926476544. Its totient is φ = 73775765606400.

The previous prime is 220120012011173. The next prime is 220120012011329. The reversal of 220120012011200 is 2110210021022.

220120012011200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97182794 + ... + 99422006.

Almost surely, 2^{220120012011200} is an apocalyptic number.

220120012011200 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 220120012011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316521963238272).

220120012011200 is an abundant number, since it is smaller than the sum of its proper divisors (412923914465344).

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

220120012011200 is a wasteful number, since it uses less digits than its factorization.

220120012011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2239440 (or 2239425 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 220120012011200 its reverse (2110210021022), we get a palindrome (222230222032222).

The spelling of 220120012011200 in words is "two hundred twenty trillion, one hundred twenty billion, twelve million, eleven thousand, two hundred".