120510334100000 has 216 divisors, whose sum is σ = 321115689116460. Its totient is φ = 44496117120000.

The previous prime is 120510334099999. The next prime is 120510334100027. The reversal of 120510334100000 is 1433015021.

It can be written as a sum of positive squares in 18 ways, for example, as 111185299269136 + 9325034830864 = 10544444^2 + 3053692^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13334606 + ... + 20465394.

Almost surely, 2^{120510334100000} is an apocalyptic number.

120510334100000 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 120510334100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160557844558230).

120510334100000 is an abundant number, since it is smaller than the sum of its proper divisors (200605355016460).

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

120510334100000 is an frugal number, since it uses more digits than its factorization.

120510334100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7130850 (or 7130809 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 120510334100000 its reverse (1433015021), we get a palindrome (120511767115021).

The spelling of 120510334100000 in words is "one hundred twenty trillion, five hundred ten billion, three hundred thirty-four million, one hundred thousand".