120514511104 has 81 divisors (see below), whose sum is σ = 260642332503. Its totient is φ = 55588755456.

The previous prime is 120514511101. The next prime is 120514511129. The reversal of 120514511104 is 401115415021.

It is a happy number.

The square root of 120514511104 is 347152.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 14728249600 + 105786261504 = 121360^2 + 325248^2 .

It is a super-2 number, since 2×120514511104² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120514511101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 72206782 + ... + 72208450.

Almost surely, 2^120514511104 is an apocalyptic number.

120514511104 is the 347152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120514511104

120514511104 is an abundant number, since it is smaller than the sum of its proper divisors (140127821399).

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

120514511104 is an frugal number, since it uses more digits than its factorization.

120514511104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3380 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 25.

Multiplying 120514511104 by its sum of digits (25), we get a square (3012862777600 = 1735760²).

Adding to 120514511104 its reverse (401115415021), we get a palindrome (521629926125).

The spelling of 120514511104 in words is "one hundred twenty billion, five hundred fourteen million, five hundred eleven thousand, one hundred four".