5401200120 has 128 divisors (see below), whose sum is σ = 16802035200. Its totient is φ = 1387362816.

The previous prime is 5401200073. The next prime is 5401200131. The reversal of 5401200120 is 210021045.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 5401200120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1693167 + ... + 1696353.

It is an arithmetic number, because the mean of its divisors is an integer number (131265900).

Almost surely, 2^5401200120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5401200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8401017600).

5401200120 is an abundant number, since it is smaller than the sum of its proper divisors (11400835080).

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

5401200120 is a wasteful number, since it uses less digits than its factorization.

5401200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3717 (or 3713 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 5401200120 is about 73492.8576121517. The cubic root of 5401200120 is about 1754.5406026401.

Adding to 5401200120 its reverse (210021045), we get a palindrome (5611221165).

The spelling of 5401200120 in words is "five billion, four hundred one million, two hundred thousand, one hundred twenty".