120225735 has 128 divisors (see below), whose sum is σ = 261273600. Its totient is φ = 51287040.

The previous prime is 120225731. The next prime is 120225773. The reversal of 120225735 is 537522021.

It is not a de Polignac number, because 120225735 - 2² = 120225731 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 120225699 and 120225708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120225731) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1123552 + ... + 1123658.

It is an arithmetic number, because the mean of its divisors is an integer number (2041200).

Almost surely, 2^120225735 is an apocalyptic number.

120225735 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

120225735 is an abundant number, since it is smaller than the sum of its proper divisors (141047865).

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

120225735 is a wasteful number, since it uses less digits than its factorization.

120225735 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 120225735 is about 10964.7496551449. The cubic root of 120225735 is about 493.5515046807.

Adding to 120225735 its reverse (537522021), we get a palindrome (657747756).

The spelling of 120225735 in words is "one hundred twenty million, two hundred twenty-five thousand, seven hundred thirty-five".