120213529851780 has 288 divisors, whose sum is σ = 381343312153440. Its totient is φ = 30613741240320.

The previous prime is 120213529851757. The next prime is 120213529851787. The reversal of 120213529851780 is 87158925312021.

120213529851780 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 1 + 35 + 2 + 98 + 517 + 8 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 27609707196036 + 92603822655744 = 5254494^2 + 9623088^2 .

It is not an unprimeable number, because it can be changed into a prime (120213529851787) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 838933740 + ... + 839077020.

It is an arithmetic number, because the mean of its divisors is an integer number (1324108722755).

Almost surely, 2^{120213529851780} is an apocalyptic number.

120213529851780 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 120213529851780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190671656076720).

120213529851780 is an abundant number, since it is smaller than the sum of its proper divisors (261129782301660).

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

120213529851780 is a wasteful number, since it uses less digits than its factorization.

120213529851780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145079 (or 145074 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 120213529851780 in words is "one hundred twenty trillion, two hundred thirteen billion, five hundred twenty-nine million, eight hundred fifty-one thousand, seven hundred eighty".