120315701106 has 64 divisors (see below), whose sum is σ = 270853320960. Its totient is φ = 40077935568.

The previous prime is 120315701059. The next prime is 120315701113. The reversal of 120315701106 is 601107513021.

It is a super-4 number, since 4×120315701106⁴ (a number of 45 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 120315701106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7020460 + ... + 7037576.

It is an arithmetic number, because the mean of its divisors is an integer number (4232083140).

Almost surely, 2^120315701106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120315701106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135426660480).

120315701106 is an abundant number, since it is smaller than the sum of its proper divisors (150537619854).

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

120315701106 is an equidigital number, since it uses as much as digits as its factorization.

120315701106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18747 (or 18729 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The spelling of 120315701106 in words is "one hundred twenty billion, three hundred fifteen million, seven hundred one thousand, one hundred six".