120351780 has 144 divisors (see below), whose sum is σ = 378194544. Its totient is φ = 30965760.

The previous prime is 120351779. The next prime is 120351793. The reversal of 120351780 is 87153021.

It can be written as a sum of positive squares in 8 ways, for example, as 52881984 + 67469796 = 7272^2 + 8214^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1065004 + ... + 1065116.

It is an arithmetic number, because the mean of its divisors is an integer number (2626351).

Almost surely, 2^120351780 is an apocalyptic number.

120351780 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 120351780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189097272).

120351780 is an abundant number, since it is smaller than the sum of its proper divisors (257842764).

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

120351780 is a wasteful number, since it uses less digits than its factorization.

120351780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 120351780 is about 10970.4958866954. The cubic root of 120351780 is about 493.7239247032.

The spelling of 120351780 in words is "one hundred twenty million, three hundred fifty-one thousand, seven hundred eighty".