120122210121120 has 144 divisors (see below), whose sum is σ = 410026052027592. Its totient is φ = 32024070881280.

The previous prime is 120122210121119. The next prime is 120122210121127. The reversal of 120122210121120 is 21121012221021.

120122210121120 is a `hidden beast` number, since 1 + 201 + 2 + 221 + 0 + 121 + 120 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 76015450691856 + 44106759429264 = 8718684^2 + 6641292^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 = 120122210121093 and 120122210121102.

It is not an unprimeable number, because it can be changed into a prime (120122210121127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5674057 + ... + 16505736.

Almost surely, 2^{120122210121120} is an apocalyptic number.

120122210121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120122210121120 is an abundant number, since it is smaller than the sum of its proper divisors (289903841906472).

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

120122210121120 is a wasteful number, since it uses less digits than its factorization.

120122210121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22183575 (or 22183564 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 120122210121120 its reverse (21121012221021), we get a palindrome (141243222342141).

The spelling of 120122210121120 in words is "one hundred twenty trillion, one hundred twenty-two billion, two hundred ten million, one hundred twenty-one thousand, one hundred twenty".