334553013120 has 128 divisors (see below), whose sum is σ = 1067088291840. Its totient is φ = 89155528704.

The previous prime is 334553013103. The next prime is 334553013167. The reversal of 334553013120 is 21310355433.

334553013120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×334553013120² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2906097 + ... + 3019023.

It is an arithmetic number, because the mean of its divisors is an integer number (8336627280).

Almost surely, 2^334553013120 is an apocalyptic number.

334553013120 is a gapful number since it is divisible by the number (30) 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 334553013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533544145920).

334553013120 is an abundant number, since it is smaller than the sum of its proper divisors (732535278720).

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

334553013120 is a wasteful number, since it uses less digits than its factorization.

334553013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114492 (or 114480 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 30.

Adding to 334553013120 its reverse (21310355433), we get a palindrome (355863368553).

The spelling of 334553013120 in words is "three hundred thirty-four billion, five hundred fifty-three million, thirteen thousand, one hundred twenty".