20501151120 has 120 divisors (see below), whose sum is σ = 68881807800. Its totient is φ = 5464424448.

The previous prime is 20501151119. The next prime is 20501151161. The reversal of 20501151120 is 2115110502.

20501151120 is a `hidden beast` number, since 2 + 0 + 501 + 151 + 12 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 667498896 + 19833652224 = 25836^2 + 140832^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20501151093 and 20501151102.

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 23 ways as a sum of consecutive naturals, for example, 1930786 + ... + 1941374.

It is an arithmetic number, because the mean of its divisors is an integer number (574015065).

Almost surely, 2^20501151120 is an apocalyptic number.

20501151120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20501151120 is an abundant number, since it is smaller than the sum of its proper divisors (48380656680).

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

20501151120 is a wasteful number, since it uses less digits than its factorization.

20501151120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13297 (or 13288 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

Adding to 20501151120 its reverse (2115110502), we get a palindrome (22616261622).

The spelling of 20501151120 in words is "twenty billion, five hundred one million, one hundred fifty-one thousand, one hundred twenty".