122120221122020 has 96 divisors (see below), whose sum is σ = 281091770467200. Its totient is φ = 44197180876800.

The previous prime is 122120221121939. The next prime is 122120221122041. The reversal of 122120221122020 is 20221122021221.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 122120221121983 and 122120221122001.

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, 89937311 + ... + 91285049.

It is an arithmetic number, because the mean of its divisors is an integer number (2928039275700).

Almost surely, 2^{122120221122020} is an apocalyptic number.

122120221122020 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 122120221122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140545885233600).

122120221122020 is an abundant number, since it is smaller than the sum of its proper divisors (158971549345180).

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

122120221122020 is a wasteful number, since it uses less digits than its factorization.

122120221122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1349709 (or 1349707 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 122120221122020 its reverse (20221122021221), we get a palindrome (142341343143241).

The spelling of 122120221122020 in words is "one hundred twenty-two trillion, one hundred twenty billion, two hundred twenty-one million, one hundred twenty-two thousand, twenty".