120130133200000 has 384 divisors, whose sum is σ = 372945186230400. Its totient is φ = 37443148800000.

The previous prime is 120130133199983. The next prime is 120130133200013. The reversal of 120130133200000 is 2331031021.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 28849836 + ... + 32750164.

It is an arithmetic number, because the mean of its divisors is an integer number (971211422475).

Almost surely, 2^{120130133200000} is an apocalyptic number.

120130133200000 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 120130133200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186472593115200).

120130133200000 is an abundant number, since it is smaller than the sum of its proper divisors (252815053030400).

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

120130133200000 is an frugal number, since it uses more digits than its factorization.

120130133200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3900386 (or 3900354 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 120130133200000 its reverse (2331031021), we get a palindrome (120132464231021).

The spelling of 120130133200000 in words is "one hundred twenty trillion, one hundred thirty billion, one hundred thirty-three million, two hundred thousand".