220707121707072 has 2016 divisors, whose sum is σ = 870889534604544. Its totient is φ = 51990997893120.

The previous prime is 220707121707029. The next prime is 220707121707077. The reversal of 220707121707072 is 270707121707022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2016).

It is not an unprimeable number, because it can be changed into a prime (220707121707077) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 144916034503 + ... + 144916036025.

Almost surely, 2^{220707121707072} is an apocalyptic number.

220707121707072 is a gapful number since it is divisible by the number (22) 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 220707121707072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435444767302272).

220707121707072 is an abundant number, since it is smaller than the sum of its proper divisors (650182412897472).

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

220707121707072 is a wasteful number, since it uses less digits than its factorization.

220707121707072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1969 (or 1945 counting only the distinct ones).

The product of its (nonzero) digits is 268912, while the sum is 45.

The spelling of 220707121707072 in words is "two hundred twenty trillion, seven hundred seven billion, one hundred twenty-one million, seven hundred seven thousand, seventy-two".