120020222201220 has 1152 divisors, whose sum is σ = 442004503449600. Its totient is φ = 26919762186240.

The previous prime is 120020222201171. The next prime is 120020222201249. The reversal of 120020222201220 is 22102222020021.

120020222201220 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 20 + 222 + 201 + 220 = 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 = 120020222201193 and 120020222201202.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 15903033487 + ... + 15903041033.

It is an arithmetic number, because the mean of its divisors is an integer number (383684464800).

Almost surely, 2^{120020222201220} is an apocalyptic number.

120020222201220 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 120020222201220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221002251724800).

120020222201220 is an abundant number, since it is smaller than the sum of its proper divisors (321984281248380).

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

120020222201220 is a wasteful number, since it uses less digits than its factorization.

120020222201220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7846 (or 7827 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 120020222201220 its reverse (22102222020021), we get a palindrome (142122444221241).

The spelling of 120020222201220 in words is "one hundred twenty trillion, twenty billion, two hundred twenty-two million, two hundred one thousand, two hundred twenty".