220131130101120 has 1536 divisors, whose sum is σ = 926556993792000. Its totient is φ = 49237453504512.

The previous prime is 220131130101089. The next prime is 220131130101137. The reversal of 220131130101120 is 21101031131022.

220131130101120 is a `hidden beast` number, since 2 + 20 + 1 + 311 + 301 + 0 + 11 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 220131130101093 and 220131130101102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7558654879 + ... + 7558684001.

It is an arithmetic number, because the mean of its divisors is an integer number (603227209500).

Almost surely, 2^{220131130101120} is an apocalyptic number.

220131130101120 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 220131130101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463278496896000).

220131130101120 is an abundant number, since it is smaller than the sum of its proper divisors (706425863690880).

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

220131130101120 is a wasteful number, since it uses less digits than its factorization.

220131130101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29357 (or 29332 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 220131130101120 its reverse (21101031131022), we get a palindrome (241232161232142).

The spelling of 220131130101120 in words is "two hundred twenty trillion, one hundred thirty-one billion, one hundred thirty million, one hundred one thousand, one hundred twenty".