54120414211332 has 48 divisors (see below), whose sum is σ = 151916952176640. Its totient is φ = 14649134673312.

The previous prime is 54120414211301. The next prime is 54120414211333. The reversal of 54120414211332 is 23311241402145.

It is a super-2 number, since 2×54120414211332² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 54120414211293 and 54120414211302.

It is not an unprimeable number, because it can be changed into a prime (54120414211333) 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 15 ways as a sum of consecutive naturals, for example, 16955015388 + ... + 16955018579.

It is an arithmetic number, because the mean of its divisors is an integer number (3164936503680).

Almost surely, 2^{54120414211332} is an apocalyptic number.

It is an amenable number.

54120414211332 is an abundant number, since it is smaller than the sum of its proper divisors (97796537965308).

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

54120414211332 is a wasteful number, since it uses less digits than its factorization.

54120414211332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33910034000 (or 33910033998 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

Adding to 54120414211332 its reverse (23311241402145), we get a palindrome (77431655613477).

The spelling of 54120414211332 in words is "fifty-four trillion, one hundred twenty billion, four hundred fourteen million, two hundred eleven thousand, three hundred thirty-two".