220112571225120 has 384 divisors, whose sum is σ = 839140238426112. Its totient is φ = 47345011507200.

The previous prime is 220112571225101. The next prime is 220112571225149. The reversal of 220112571225120 is 21522175211022.

It is a super-2 number, since 2×220112571225120² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 394477525 + ... + 395035115.

It is an arithmetic number, because the mean of its divisors is an integer number (2185261037568).

Almost surely, 2^{220112571225120} is an apocalyptic number.

220112571225120 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 220112571225120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419570119213056).

220112571225120 is an abundant number, since it is smaller than the sum of its proper divisors (619027667200992).

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

220112571225120 is a wasteful number, since it uses less digits than its factorization.

220112571225120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564544 (or 564536 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 33.

The spelling of 220112571225120 in words is "two hundred twenty trillion, one hundred twelve billion, five hundred seventy-one million, two hundred twenty-five thousand, one hundred twenty".