920265225120 has 144 divisors (see below), whose sum is σ = 3193632580320. Its totient is φ = 241244646912.

The previous prime is 920265225091. The next prime is 920265225127. The reversal of 920265225120 is 21522562029.

It is a happy number.

920265225120 is a `hidden beast` number, since 9 + 2 + 0 + 2 + 6 + 522 + 5 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (920265225127) 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 23 ways as a sum of consecutive naturals, for example, 5330914 + ... + 5500833.

It is an arithmetic number, because the mean of its divisors is an integer number (22178004030).

Almost surely, 2^920265225120 is an apocalyptic number.

920265225120 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

920265225120 is an abundant number, since it is smaller than the sum of its proper divisors (2273367355200).

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

920265225120 is a wasteful number, since it uses less digits than its factorization.

920265225120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10831827 (or 10831816 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 920265225120 its reverse (21522562029), we get a palindrome (941787787149).

The spelling of 920265225120 in words is "nine hundred twenty billion, two hundred sixty-five million, two hundred twenty-five thousand, one hundred twenty".