120032101213020 has 192 divisors, whose sum is σ = 395425846085760. Its totient is φ = 30123724161024.

The previous prime is 120032101213007. The next prime is 120032101213093. The reversal of 120032101213020 is 20312101230021.

120032101213020 is a `hidden beast` number, since 1 + 20 + 0 + 321 + 0 + 1 + 21 + 302 + 0 = 666.

It is a super-2 number, since 2×120032101213020² (a number of 29 digits) contains 22 as substring.

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 = 120032101212984 and 120032101213002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 141840592 + ... + 142684328.

It is an arithmetic number, because the mean of its divisors is an integer number (2059509615030).

Almost surely, 2^{120032101213020} is an apocalyptic number.

120032101213020 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 120032101213020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197712923042880).

120032101213020 is an abundant number, since it is smaller than the sum of its proper divisors (275393744872740).

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

120032101213020 is a wasteful number, since it uses less digits than its factorization.

120032101213020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859269 (or 859261 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 120032101213020 its reverse (20312101230021), we get a palindrome (140344202443041).

The spelling of 120032101213020 in words is "one hundred twenty trillion, thirty-two billion, one hundred one million, two hundred thirteen thousand, twenty".