45135421123120 has 40 divisors (see below), whose sum is σ = 106718495717520. Its totient is φ = 17748165592320.

The previous prime is 45135421123049. The next prime is 45135421123193. The reversal of 45135421123120 is 2132112453154.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×45135421123120² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4781289891 + ... + 4781299330.

It is an arithmetic number, because the mean of its divisors is an integer number (2667962392938).

Almost surely, 2^{45135421123120} is an apocalyptic number.

45135421123120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45135421123120 is an abundant number, since it is smaller than the sum of its proper divisors (61583074594400).

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

45135421123120 is a wasteful number, since it uses less digits than its factorization.

45135421123120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9562589293 (or 9562589287 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

Adding to 45135421123120 its reverse (2132112453154), we get a palindrome (47267533576274).

The spelling of 45135421123120 in words is "forty-five trillion, one hundred thirty-five billion, four hundred twenty-one million, one hundred twenty-three thousand, one hundred twenty".