122112201122220 has 96 divisors (see below), whose sum is σ = 351262922770368. Its totient is φ = 31673436106752.

The previous prime is 122112201122147. The next prime is 122112201122291. The reversal of 122112201122220 is 22221102211221.

It is a super-2 number, since 2×122112201122220² (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 31 ways as a sum of consecutive naturals, for example, 1213657 + ... + 15674736.

It is an arithmetic number, because the mean of its divisors is an integer number (3658988778858).

Almost surely, 2^{122112201122220} is an apocalyptic number.

122112201122220 is a gapful number since it is divisible by the number (10) 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 122112201122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175631461385184).

122112201122220 is an abundant number, since it is smaller than the sum of its proper divisors (229150721648148).

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

122112201122220 is a wasteful number, since it uses less digits than its factorization.

122112201122220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16891699 (or 16891697 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 122112201122220 its reverse (22221102211221), we get a palindrome (144333303333441).

The spelling of 122112201122220 in words is "one hundred twenty-two trillion, one hundred twelve billion, two hundred one million, one hundred twenty-two thousand, two hundred twenty".