2120133550080 has 1792 divisors, whose sum is σ = 9321858846720. Its totient is φ = 398173667328.

The previous prime is 2120133550069. The next prime is 2120133550081. The reversal of 2120133550080 is 800553310212.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2120133550081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3611811547 + ... + 3611812133.

It is an arithmetic number, because the mean of its divisors is an integer number (5201930160).

Almost surely, 2^{2120133550080} is an apocalyptic number.

2120133550080 is a gapful number since it is divisible by the number (20) 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 2120133550080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4660929423360).

2120133550080 is an abundant number, since it is smaller than the sum of its proper divisors (7201725296640).

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

2120133550080 is a wasteful number, since it uses less digits than its factorization.

2120133550080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 2120133550080 its reverse (800553310212), we get a palindrome (2920686860292).

The spelling of 2120133550080 in words is "two trillion, one hundred twenty billion, one hundred thirty-three million, five hundred fifty thousand, eighty".