120312153135 has 48 divisors (see below), whose sum is σ = 210039804000. Its totient is φ = 63705745152.

The previous prime is 120312153121. The next prime is 120312153139. The reversal of 120312153135 is 531351213021.

120312153135 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 121 + 531 + 3 + 5 = 666.

It is not a de Polignac number, because 120312153135 - 2⁵ = 120312153103 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120312153099 and 120312153108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120312153139) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28353324 + ... + 28357566.

It is an arithmetic number, because the mean of its divisors is an integer number (4375829250).

Almost surely, 2^120312153135 is an apocalyptic number.

120312153135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

120312153135 is a deficient number, since it is larger than the sum of its proper divisors (89727650865).

120312153135 is a wasteful number, since it uses less digits than its factorization.

120312153135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8632 (or 8629 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

Adding to 120312153135 its reverse (531351213021), we get a palindrome (651663366156).

The spelling of 120312153135 in words is "one hundred twenty billion, three hundred twelve million, one hundred fifty-three thousand, one hundred thirty-five".